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Simplifying 5(x + 1) = 20(x + 10) Reorder the terms: 5(1 + x) = 20(x + 10) (1 * 5 + x * 5) = 20(x + 10) (5 + 5x) = 20(x + 10) Reorder the terms: 5 + 5x = 20(10 + x) 5 + 5x = (10 * 20 + x * 20) 5 + 5x = (200 + 20x) Solving 5 + 5x = 200 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 5 + 5x + -20x = 200 + 20x + -20x Combine like terms: 5x + -20x = -15x 5 + -15x = 200 + 20x + -20x Combine like terms: 20x + -20x = 0 5 + -15x = 200 + 0 5 + -15x = 200 Add '-5' to each side of the equation. 5 + -5 + -15x = 200 + -5 Combine like terms: 5 + -5 = 0 0 + -15x = 200 + -5 -15x = 200 + -5 Combine like terms: 200 + -5 = 195 -15x = 195 Divide each side by '-15'. x = -13 Simplifying x = -13
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