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