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Simplifying 0.167x + 30 = 2(0.083x + 1.5) Reorder the terms: 30 + 0.167x = 2(0.083x + 1.5) Reorder the terms: 30 + 0.167x = 2(1.5 + 0.083x) 30 + 0.167x = (1.5 * 2 + 0.083x * 2) 30 + 0.167x = (3 + 0.166x) Solving 30 + 0.167x = 3 + 0.166x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.166x' to each side of the equation. 30 + 0.167x + -0.166x = 3 + 0.166x + -0.166x Combine like terms: 0.167x + -0.166x = 0.001x 30 + 0.001x = 3 + 0.166x + -0.166x Combine like terms: 0.166x + -0.166x = 0.000 30 + 0.001x = 3 + 0.000 30 + 0.001x = 3 Add '-30' to each side of the equation. 30 + -30 + 0.001x = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 0.001x = 3 + -30 0.001x = 3 + -30 Combine like terms: 3 + -30 = -27 0.001x = -27 Divide each side by '0.001'. x = -27000 Simplifying x = -27000
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