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Simplifying 0.18x + 0.6(x + -5) = 0.01(5x + -5) Reorder the terms: 0.18x + 0.6(-5 + x) = 0.01(5x + -5) 0.18x + (-5 * 0.6 + x * 0.6) = 0.01(5x + -5) 0.18x + (-3 + 0.6x) = 0.01(5x + -5) Reorder the terms: -3 + 0.18x + 0.6x = 0.01(5x + -5) Combine like terms: 0.18x + 0.6x = 0.78x -3 + 0.78x = 0.01(5x + -5) Reorder the terms: -3 + 0.78x = 0.01(-5 + 5x) -3 + 0.78x = (-5 * 0.01 + 5x * 0.01) -3 + 0.78x = (-0.05 + 0.05x) Solving -3 + 0.78x = -0.05 + 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. -3 + 0.78x + -0.05x = -0.05 + 0.05x + -0.05x Combine like terms: 0.78x + -0.05x = 0.73x -3 + 0.73x = -0.05 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -3 + 0.73x = -0.05 + 0.00 -3 + 0.73x = -0.05 Add '3' to each side of the equation. -3 + 3 + 0.73x = -0.05 + 3 Combine like terms: -3 + 3 = 0 0 + 0.73x = -0.05 + 3 0.73x = -0.05 + 3 Combine like terms: -0.05 + 3 = 2.95 0.73x = 2.95 Divide each side by '0.73'. x = 4.04109589 Simplifying x = 4.04109589
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