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Simplifying 5(x + -9) = 3(2x + 5) Reorder the terms: 5(-9 + x) = 3(2x + 5) (-9 * 5 + x * 5) = 3(2x + 5) (-45 + 5x) = 3(2x + 5) Reorder the terms: -45 + 5x = 3(5 + 2x) -45 + 5x = (5 * 3 + 2x * 3) -45 + 5x = (15 + 6x) Solving -45 + 5x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -45 + 5x + -6x = 15 + 6x + -6x Combine like terms: 5x + -6x = -1x -45 + -1x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + -1x = 15 + 0 -45 + -1x = 15 Add '45' to each side of the equation. -45 + 45 + -1x = 15 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = 15 + 45 -1x = 15 + 45 Combine like terms: 15 + 45 = 60 -1x = 60 Divide each side by '-1'. x = -60 Simplifying x = -60
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