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Simplifying 6(x2 + 1) + -1(2x + -4) = 3x(2x + 1) Reorder the terms: 6(1 + x2) + -1(2x + -4) = 3x(2x + 1) (1 * 6 + x2 * 6) + -1(2x + -4) = 3x(2x + 1) (6 + 6x2) + -1(2x + -4) = 3x(2x + 1) Reorder the terms: 6 + 6x2 + -1(-4 + 2x) = 3x(2x + 1) 6 + 6x2 + (-4 * -1 + 2x * -1) = 3x(2x + 1) 6 + 6x2 + (4 + -2x) = 3x(2x + 1) Reorder the terms: 6 + 4 + -2x + 6x2 = 3x(2x + 1) Combine like terms: 6 + 4 = 10 10 + -2x + 6x2 = 3x(2x + 1) Reorder the terms: 10 + -2x + 6x2 = 3x(1 + 2x) 10 + -2x + 6x2 = (1 * 3x + 2x * 3x) 10 + -2x + 6x2 = (3x + 6x2) Add '-6x2' to each side of the equation. 10 + -2x + 6x2 + -6x2 = 3x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 10 + -2x + 0 = 3x + 6x2 + -6x2 10 + -2x = 3x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 10 + -2x = 3x + 0 10 + -2x = 3x Solving 10 + -2x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -2x + -3x = 3x + -3x Combine like terms: -2x + -3x = -5x 10 + -5x = 3x + -3x Combine like terms: 3x + -3x = 0 10 + -5x = 0 Add '-10' to each side of the equation. 10 + -10 + -5x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 0 + -10 -5x = 0 + -10 Combine like terms: 0 + -10 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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