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Simplifying -2(x + 1) = 5x + 5 Reorder the terms: -2(1 + x) = 5x + 5 (1 * -2 + x * -2) = 5x + 5 (-2 + -2x) = 5x + 5 Reorder the terms: -2 + -2x = 5 + 5x Solving -2 + -2x = 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. -2 + -2x + -5x = 5 + 5x + -5x Combine like terms: -2x + -5x = -7x -2 + -7x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -7x = 5 + 0 -2 + -7x = 5 Add '2' to each side of the equation. -2 + 2 + -7x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 5 + 2 -7x = 5 + 2 Combine like terms: 5 + 2 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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