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Simplifying 5(2x + -3) = 3(3x + -5) Reorder the terms: 5(-3 + 2x) = 3(3x + -5) (-3 * 5 + 2x * 5) = 3(3x + -5) (-15 + 10x) = 3(3x + -5) Reorder the terms: -15 + 10x = 3(-5 + 3x) -15 + 10x = (-5 * 3 + 3x * 3) -15 + 10x = (-15 + 9x) Add '15' to each side of the equation. -15 + 15 + 10x = -15 + 15 + 9x Combine like terms: -15 + 15 = 0 0 + 10x = -15 + 15 + 9x 10x = -15 + 15 + 9x Combine like terms: -15 + 15 = 0 10x = 0 + 9x 10x = 9x Solving 10x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 10x + -9x = 9x + -9x Combine like terms: 10x + -9x = 1x 1x = 9x + -9x Combine like terms: 9x + -9x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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