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