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Simplifying -5x + 2(x + -1) = 5(x + 1) Reorder the terms: -5x + 2(-1 + x) = 5(x + 1) -5x + (-1 * 2 + x * 2) = 5(x + 1) -5x + (-2 + 2x) = 5(x + 1) Reorder the terms: -2 + -5x + 2x = 5(x + 1) Combine like terms: -5x + 2x = -3x -2 + -3x = 5(x + 1) Reorder the terms: -2 + -3x = 5(1 + x) -2 + -3x = (1 * 5 + x * 5) -2 + -3x = (5 + 5x) Solving -2 + -3x = 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 + -3x + -5x = 5 + 5x + -5x Combine like terms: -3x + -5x = -8x -2 + -8x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -8x = 5 + 0 -2 + -8x = 5 Add '2' to each side of the equation. -2 + 2 + -8x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 5 + 2 -8x = 5 + 2 Combine like terms: 5 + 2 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875
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