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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 = -4x 3 + -4x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + -4x = 15 + 0 3 + -4x = 15 Add '-3' to each side of the equation. 3 + -3 + -4x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 15 + -3 -4x = 15 + -3 Combine like terms: 15 + -3 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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