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Simplifying 3(x + -5) = 2(4 + -5x) Reorder the terms: 3(-5 + x) = 2(4 + -5x) (-5 * 3 + x * 3) = 2(4 + -5x) (-15 + 3x) = 2(4 + -5x) -15 + 3x = (4 * 2 + -5x * 2) -15 + 3x = (8 + -10x) Solving -15 + 3x = 8 + -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 + 3x + 10x = 8 + -10x + 10x Combine like terms: 3x + 10x = 13x -15 + 13x = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 -15 + 13x = 8 + 0 -15 + 13x = 8 Add '15' to each side of the equation. -15 + 15 + 13x = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 8 + 15 13x = 8 + 15 Combine like terms: 8 + 15 = 23 13x = 23 Divide each side by '13'. x = 1.769230769 Simplifying x = 1.769230769
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