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Simplifying 9(x + -1) = 5(x + -2) Reorder the terms: 9(-1 + x) = 5(x + -2) (-1 * 9 + x * 9) = 5(x + -2) (-9 + 9x) = 5(x + -2) Reorder the terms: -9 + 9x = 5(-2 + x) -9 + 9x = (-2 * 5 + x * 5) -9 + 9x = (-10 + 5x) Solving -9 + 9x = -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. -9 + 9x + -5x = -10 + 5x + -5x Combine like terms: 9x + -5x = 4x -9 + 4x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 4x = -10 + 0 -9 + 4x = -10 Add '9' to each side of the equation. -9 + 9 + 4x = -10 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = -10 + 9 4x = -10 + 9 Combine like terms: -10 + 9 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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