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Simplifying 2(x + -1) = 5(x + -2) Reorder the terms: 2(-1 + x) = 5(x + -2) (-1 * 2 + x * 2) = 5(x + -2) (-2 + 2x) = 5(x + -2) Reorder the terms: -2 + 2x = 5(-2 + x) -2 + 2x = (-2 * 5 + x * 5) -2 + 2x = (-10 + 5x) Solving -2 + 2x = -10 + 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 = -10 + 5x + -5x Combine like terms: 2x + -5x = -3x -2 + -3x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -3x = -10 + 0 -2 + -3x = -10 Add '2' to each side of the equation. -2 + 2 + -3x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -10 + 2 -3x = -10 + 2 Combine like terms: -10 + 2 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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