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Simplifying 3(x + -5) = 2(20 + -1x) Reorder the terms: 3(-5 + x) = 2(20 + -1x) (-5 * 3 + x * 3) = 2(20 + -1x) (-15 + 3x) = 2(20 + -1x) -15 + 3x = (20 * 2 + -1x * 2) -15 + 3x = (40 + -2x) Solving -15 + 3x = 40 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 3x + 2x = 40 + -2x + 2x Combine like terms: 3x + 2x = 5x -15 + 5x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 5x = 40 + 0 -15 + 5x = 40 Add '15' to each side of the equation. -15 + 15 + 5x = 40 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 40 + 15 5x = 40 + 15 Combine like terms: 40 + 15 = 55 5x = 55 Divide each side by '5'. x = 11 Simplifying x = 11
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