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