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Simplifying 2(1x + -5) = 3(-1x + 5) Reorder the terms: 2(-5 + 1x) = 3(-1x + 5) (-5 * 2 + 1x * 2) = 3(-1x + 5) (-10 + 2x) = 3(-1x + 5) Reorder the terms: -10 + 2x = 3(5 + -1x) -10 + 2x = (5 * 3 + -1x * 3) -10 + 2x = (15 + -3x) Solving -10 + 2x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 2x + 3x = 15 + -3x + 3x Combine like terms: 2x + 3x = 5x -10 + 5x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 5x = 15 + 0 -10 + 5x = 15 Add '10' to each side of the equation. -10 + 10 + 5x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 15 + 10 5x = 15 + 10 Combine like terms: 15 + 10 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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