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Simplifying 0.12x + 0.6(x + -3) = 0.01(5x + -2) Reorder the terms: 0.12x + 0.6(-3 + x) = 0.01(5x + -2) 0.12x + (-3 * 0.6 + x * 0.6) = 0.01(5x + -2) 0.12x + (-1.8 + 0.6x) = 0.01(5x + -2) Reorder the terms: -1.8 + 0.12x + 0.6x = 0.01(5x + -2) Combine like terms: 0.12x + 0.6x = 0.72x -1.8 + 0.72x = 0.01(5x + -2) Reorder the terms: -1.8 + 0.72x = 0.01(-2 + 5x) -1.8 + 0.72x = (-2 * 0.01 + 5x * 0.01) -1.8 + 0.72x = (-0.02 + 0.05x) Solving -1.8 + 0.72x = -0.02 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -1.8 + 0.72x + -0.05x = -0.02 + 0.05x + -0.05x Combine like terms: 0.72x + -0.05x = 0.67x -1.8 + 0.67x = -0.02 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.8 + 0.67x = -0.02 + 0.00 -1.8 + 0.67x = -0.02 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.67x = -0.02 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.67x = -0.02 + 1.8 0.67x = -0.02 + 1.8 Combine like terms: -0.02 + 1.8 = 1.78 0.67x = 1.78 Divide each side by '0.67'. x = 2.656716418 Simplifying x = 2.656716418
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