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Simplifying 9(x + -2) = 5(x + -3) Reorder the terms: 9(-2 + x) = 5(x + -3) (-2 * 9 + x * 9) = 5(x + -3) (-18 + 9x) = 5(x + -3) Reorder the terms: -18 + 9x = 5(-3 + x) -18 + 9x = (-3 * 5 + x * 5) -18 + 9x = (-15 + 5x) Solving -18 + 9x = -15 + 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. -18 + 9x + -5x = -15 + 5x + -5x Combine like terms: 9x + -5x = 4x -18 + 4x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 4x = -15 + 0 -18 + 4x = -15 Add '18' to each side of the equation. -18 + 18 + 4x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -15 + 18 4x = -15 + 18 Combine like terms: -15 + 18 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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