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Simplifying 15(x + -1) = 5(x + -2) Reorder the terms: 15(-1 + x) = 5(x + -2) (-1 * 15 + x * 15) = 5(x + -2) (-15 + 15x) = 5(x + -2) Reorder the terms: -15 + 15x = 5(-2 + x) -15 + 15x = (-2 * 5 + x * 5) -15 + 15x = (-10 + 5x) Solving -15 + 15x = -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. -15 + 15x + -5x = -10 + 5x + -5x Combine like terms: 15x + -5x = 10x -15 + 10x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 10x = -10 + 0 -15 + 10x = -10 Add '15' to each side of the equation. -15 + 15 + 10x = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = -10 + 15 10x = -10 + 15 Combine like terms: -10 + 15 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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