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Simplifying -4x + 3(1 + -2x) = 3(5 + 2x) -4x + (1 * 3 + -2x * 3) = 3(5 + 2x) -4x + (3 + -6x) = 3(5 + 2x) Reorder the terms: 3 + -4x + -6x = 3(5 + 2x) Combine like terms: -4x + -6x = -10x 3 + -10x = 3(5 + 2x) 3 + -10x = (5 * 3 + 2x * 3) 3 + -10x = (15 + 6x) Solving 3 + -10x = 15 + 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. 3 + -10x + -6x = 15 + 6x + -6x Combine like terms: -10x + -6x = -16x 3 + -16x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -16x = 15 + 0 3 + -16x = 15 Add '-3' to each side of the equation. 3 + -3 + -16x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -16x = 15 + -3 -16x = 15 + -3 Combine like terms: 15 + -3 = 12 -16x = 12 Divide each side by '-16'. x = -0.75 Simplifying x = -0.75
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