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