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Simplifying 2x(3 + -1x) + -4(x + 2) = 3x(2 + -3x) + 5 + 7x2 + -12 (3 * 2x + -1x * 2x) + -4(x + 2) = 3x(2 + -3x) + 5 + 7x2 + -12 (6x + -2x2) + -4(x + 2) = 3x(2 + -3x) + 5 + 7x2 + -12 Reorder the terms: 6x + -2x2 + -4(2 + x) = 3x(2 + -3x) + 5 + 7x2 + -12 6x + -2x2 + (2 * -4 + x * -4) = 3x(2 + -3x) + 5 + 7x2 + -12 6x + -2x2 + (-8 + -4x) = 3x(2 + -3x) + 5 + 7x2 + -12 Reorder the terms: -8 + 6x + -4x + -2x2 = 3x(2 + -3x) + 5 + 7x2 + -12 Combine like terms: 6x + -4x = 2x -8 + 2x + -2x2 = 3x(2 + -3x) + 5 + 7x2 + -12 -8 + 2x + -2x2 = (2 * 3x + -3x * 3x) + 5 + 7x2 + -12 -8 + 2x + -2x2 = (6x + -9x2) + 5 + 7x2 + -12 Reorder the terms: -8 + 2x + -2x2 = 5 + -12 + 6x + -9x2 + 7x2 Combine like terms: 5 + -12 = -7 -8 + 2x + -2x2 = -7 + 6x + -9x2 + 7x2 Combine like terms: -9x2 + 7x2 = -2x2 -8 + 2x + -2x2 = -7 + 6x + -2x2 Add '2x2' to each side of the equation. -8 + 2x + -2x2 + 2x2 = -7 + 6x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -8 + 2x + 0 = -7 + 6x + -2x2 + 2x2 -8 + 2x = -7 + 6x + -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -8 + 2x = -7 + 6x + 0 -8 + 2x = -7 + 6x Solving -8 + 2x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 2x + -6x = -7 + 6x + -6x Combine like terms: 2x + -6x = -4x -8 + -4x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -4x = -7 + 0 -8 + -4x = -7 Add '8' to each side of the equation. -8 + 8 + -4x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -7 + 8 -4x = -7 + 8 Combine like terms: -7 + 8 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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