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Simplifying x + 20 = 5(x + -100) Reorder the terms: 20 + x = 5(x + -100) Reorder the terms: 20 + x = 5(-100 + x) 20 + x = (-100 * 5 + x * 5) 20 + x = (-500 + 5x) Solving 20 + x = -500 + 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 + x + -5x = -500 + 5x + -5x Combine like terms: x + -5x = -4x 20 + -4x = -500 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -4x = -500 + 0 20 + -4x = -500 Add '-20' to each side of the equation. 20 + -20 + -4x = -500 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = -500 + -20 -4x = -500 + -20 Combine like terms: -500 + -20 = -520 -4x = -520 Divide each side by '-4'. x = 130 Simplifying x = 130
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