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Simplifying 20(x + 0.05) = 10(x + 0.07) Reorder the terms: 20(0.05 + x) = 10(x + 0.07) (0.05 * 20 + x * 20) = 10(x + 0.07) (1 + 20x) = 10(x + 0.07) Reorder the terms: 1 + 20x = 10(0.07 + x) 1 + 20x = (0.07 * 10 + x * 10) 1 + 20x = (0.7 + 10x) Solving 1 + 20x = 0.7 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + 20x + -10x = 0.7 + 10x + -10x Combine like terms: 20x + -10x = 10x 1 + 10x = 0.7 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + 10x = 0.7 + 0 1 + 10x = 0.7 Add '-1' to each side of the equation. 1 + -1 + 10x = 0.7 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 0.7 + -1 10x = 0.7 + -1 Combine like terms: 0.7 + -1 = -0.3 10x = -0.3 Divide each side by '10'. x = -0.03 Simplifying x = -0.03
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