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Simplifying 3(4 + -1x) + 5x = -2(2x + -9) (4 * 3 + -1x * 3) + 5x = -2(2x + -9) (12 + -3x) + 5x = -2(2x + -9) Combine like terms: -3x + 5x = 2x 12 + 2x = -2(2x + -9) Reorder the terms: 12 + 2x = -2(-9 + 2x) 12 + 2x = (-9 * -2 + 2x * -2) 12 + 2x = (18 + -4x) Solving 12 + 2x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 2x + 4x = 18 + -4x + 4x Combine like terms: 2x + 4x = 6x 12 + 6x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 6x = 18 + 0 12 + 6x = 18 Add '-12' to each side of the equation. 12 + -12 + 6x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 18 + -12 6x = 18 + -12 Combine like terms: 18 + -12 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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