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Simplifying 3(2x + -5) = 5(2x + 9) Reorder the terms: 3(-5 + 2x) = 5(2x + 9) (-5 * 3 + 2x * 3) = 5(2x + 9) (-15 + 6x) = 5(2x + 9) Reorder the terms: -15 + 6x = 5(9 + 2x) -15 + 6x = (9 * 5 + 2x * 5) -15 + 6x = (45 + 10x) Solving -15 + 6x = 45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -15 + 6x + -10x = 45 + 10x + -10x Combine like terms: 6x + -10x = -4x -15 + -4x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 -15 + -4x = 45 + 0 -15 + -4x = 45 Add '15' to each side of the equation. -15 + 15 + -4x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 45 + 15 -4x = 45 + 15 Combine like terms: 45 + 15 = 60 -4x = 60 Divide each side by '-4'. x = -15 Simplifying x = -15
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