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Simplifying x(-2x + -4) + 3x2(x + -6) + 18 = x2(2x + -5) + x(x2 + -15x + 5) Reorder the terms: x(-4 + -2x) + 3x2(x + -6) + 18 = x2(2x + -5) + x(x2 + -15x + 5) (-4 * x + -2x * x) + 3x2(x + -6) + 18 = x2(2x + -5) + x(x2 + -15x + 5) (-4x + -2x2) + 3x2(x + -6) + 18 = x2(2x + -5) + x(x2 + -15x + 5) Reorder the terms: -4x + -2x2 + 3x2(-6 + x) + 18 = x2(2x + -5) + x(x2 + -15x + 5) -4x + -2x2 + (-6 * 3x2 + x * 3x2) + 18 = x2(2x + -5) + x(x2 + -15x + 5) -4x + -2x2 + (-18x2 + 3x3) + 18 = x2(2x + -5) + x(x2 + -15x + 5) Reorder the terms: 18 + -4x + -2x2 + -18x2 + 3x3 = x2(2x + -5) + x(x2 + -15x + 5) Combine like terms: -2x2 + -18x2 = -20x2 18 + -4x + -20x2 + 3x3 = x2(2x + -5) + x(x2 + -15x + 5) Reorder the terms: 18 + -4x + -20x2 + 3x3 = x2(-5 + 2x) + x(x2 + -15x + 5) 18 + -4x + -20x2 + 3x3 = (-5 * x2 + 2x * x2) + x(x2 + -15x + 5) 18 + -4x + -20x2 + 3x3 = (-5x2 + 2x3) + x(x2 + -15x + 5) Reorder the terms: 18 + -4x + -20x2 + 3x3 = -5x2 + 2x3 + x(5 + -15x + x2) 18 + -4x + -20x2 + 3x3 = -5x2 + 2x3 + (5 * x + -15x * x + x2 * x) 18 + -4x + -20x2 + 3x3 = -5x2 + 2x3 + (5x + -15x2 + x3) Reorder the terms: 18 + -4x + -20x2 + 3x3 = 5x + -5x2 + -15x2 + 2x3 + x3 Combine like terms: -5x2 + -15x2 = -20x2 18 + -4x + -20x2 + 3x3 = 5x + -20x2 + 2x3 + x3 Combine like terms: 2x3 + x3 = 3x3 18 + -4x + -20x2 + 3x3 = 5x + -20x2 + 3x3 Add '20x2' to each side of the equation. 18 + -4x + -20x2 + 20x2 + 3x3 = 5x + -20x2 + 20x2 + 3x3 Combine like terms: -20x2 + 20x2 = 0 18 + -4x + 0 + 3x3 = 5x + -20x2 + 20x2 + 3x3 18 + -4x + 3x3 = 5x + -20x2 + 20x2 + 3x3 Combine like terms: -20x2 + 20x2 = 0 18 + -4x + 3x3 = 5x + 0 + 3x3 18 + -4x + 3x3 = 5x + 3x3 Add '-3x3' to each side of the equation. 18 + -4x + 3x3 + -3x3 = 5x + 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 18 + -4x + 0 = 5x + 3x3 + -3x3 18 + -4x = 5x + 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 18 + -4x = 5x + 0 18 + -4x = 5x Solving 18 + -4x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + -4x + -5x = 5x + -5x Combine like terms: -4x + -5x = -9x 18 + -9x = 5x + -5x Combine like terms: 5x + -5x = 0 18 + -9x = 0 Add '-18' to each side of the equation. 18 + -18 + -9x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 0 + -18 -9x = 0 + -18 Combine like terms: 0 + -18 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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