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Simplifying 2x + 20 = 5(x + -20) Reorder the terms: 20 + 2x = 5(x + -20) Reorder the terms: 20 + 2x = 5(-20 + x) 20 + 2x = (-20 * 5 + x * 5) 20 + 2x = (-100 + 5x) Solving 20 + 2x = -100 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 2x + -5x = -100 + 5x + -5x Combine like terms: 2x + -5x = -3x 20 + -3x = -100 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -3x = -100 + 0 20 + -3x = -100 Add '-20' to each side of the equation. 20 + -20 + -3x = -100 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = -100 + -20 -3x = -100 + -20 Combine like terms: -100 + -20 = -120 -3x = -120 Divide each side by '-3'. x = 40 Simplifying x = 40
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