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Simplifying 0.125(x + 16) + 0.2(x + 5) = x + 2 Reorder the terms: 0.125(16 + x) + 0.2(x + 5) = x + 2 (16 * 0.125 + x * 0.125) + 0.2(x + 5) = x + 2 (2 + 0.125x) + 0.2(x + 5) = x + 2 Reorder the terms: 2 + 0.125x + 0.2(5 + x) = x + 2 2 + 0.125x + (5 * 0.2 + x * 0.2) = x + 2 2 + 0.125x + (1 + 0.2x) = x + 2 Reorder the terms: 2 + 1 + 0.125x + 0.2x = x + 2 Combine like terms: 2 + 1 = 3 3 + 0.125x + 0.2x = x + 2 Combine like terms: 0.125x + 0.2x = 0.325x 3 + 0.325x = x + 2 Reorder the terms: 3 + 0.325x = 2 + x Solving 3 + 0.325x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 0.325x + -1x = 2 + x + -1x Combine like terms: 0.325x + -1x = -0.675x 3 + -0.675x = 2 + x + -1x Combine like terms: x + -1x = 0 3 + -0.675x = 2 + 0 3 + -0.675x = 2 Add '-3' to each side of the equation. 3 + -3 + -0.675x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -0.675x = 2 + -3 -0.675x = 2 + -3 Combine like terms: 2 + -3 = -1 -0.675x = -1 Divide each side by '-0.675'. x = 1.481481481 Simplifying x = 1.481481481
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