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Simplifying 2(x + -5) = 3(20 + -1x) Reorder the terms: 2(-5 + x) = 3(20 + -1x) (-5 * 2 + x * 2) = 3(20 + -1x) (-10 + 2x) = 3(20 + -1x) -10 + 2x = (20 * 3 + -1x * 3) -10 + 2x = (60 + -3x) Solving -10 + 2x = 60 + -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 = 60 + -3x + 3x Combine like terms: 2x + 3x = 5x -10 + 5x = 60 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 5x = 60 + 0 -10 + 5x = 60 Add '10' to each side of the equation. -10 + 10 + 5x = 60 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 60 + 10 5x = 60 + 10 Combine like terms: 60 + 10 = 70 5x = 70 Divide each side by '5'. x = 14 Simplifying x = 14
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