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Simplifying 0.18x + 0.5(x + -5) = 0.01(3x + -1) Reorder the terms: 0.18x + 0.5(-5 + x) = 0.01(3x + -1) 0.18x + (-5 * 0.5 + x * 0.5) = 0.01(3x + -1) 0.18x + (-2.5 + 0.5x) = 0.01(3x + -1) Reorder the terms: -2.5 + 0.18x + 0.5x = 0.01(3x + -1) Combine like terms: 0.18x + 0.5x = 0.68x -2.5 + 0.68x = 0.01(3x + -1) Reorder the terms: -2.5 + 0.68x = 0.01(-1 + 3x) -2.5 + 0.68x = (-1 * 0.01 + 3x * 0.01) -2.5 + 0.68x = (-0.01 + 0.03x) Solving -2.5 + 0.68x = -0.01 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -2.5 + 0.68x + -0.03x = -0.01 + 0.03x + -0.03x Combine like terms: 0.68x + -0.03x = 0.65x -2.5 + 0.65x = -0.01 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -2.5 + 0.65x = -0.01 + 0.00 -2.5 + 0.65x = -0.01 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.65x = -0.01 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.65x = -0.01 + 2.5 0.65x = -0.01 + 2.5 Combine like terms: -0.01 + 2.5 = 2.49 0.65x = 2.49 Divide each side by '0.65'. x = 3.830769231 Simplifying x = 3.830769231
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