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Simplifying 0.12x + 0.6(x + -4) = 0.01(5x + -3) Reorder the terms: 0.12x + 0.6(-4 + x) = 0.01(5x + -3) 0.12x + (-4 * 0.6 + x * 0.6) = 0.01(5x + -3) 0.12x + (-2.4 + 0.6x) = 0.01(5x + -3) Reorder the terms: -2.4 + 0.12x + 0.6x = 0.01(5x + -3) Combine like terms: 0.12x + 0.6x = 0.72x -2.4 + 0.72x = 0.01(5x + -3) Reorder the terms: -2.4 + 0.72x = 0.01(-3 + 5x) -2.4 + 0.72x = (-3 * 0.01 + 5x * 0.01) -2.4 + 0.72x = (-0.03 + 0.05x) Solving -2.4 + 0.72x = -0.03 + 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. -2.4 + 0.72x + -0.05x = -0.03 + 0.05x + -0.05x Combine like terms: 0.72x + -0.05x = 0.67x -2.4 + 0.67x = -0.03 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -2.4 + 0.67x = -0.03 + 0.00 -2.4 + 0.67x = -0.03 Add '2.4' to each side of the equation. -2.4 + 2.4 + 0.67x = -0.03 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 0.67x = -0.03 + 2.4 0.67x = -0.03 + 2.4 Combine like terms: -0.03 + 2.4 = 2.37 0.67x = 2.37 Divide each side by '0.67'. x = 3.537313433 Simplifying x = 3.537313433
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