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Simplifying 0.18x + 0.5(x + -4) = 0.01(3x + -5) Reorder the terms: 0.18x + 0.5(-4 + x) = 0.01(3x + -5) 0.18x + (-4 * 0.5 + x * 0.5) = 0.01(3x + -5) 0.18x + (-2 + 0.5x) = 0.01(3x + -5) Reorder the terms: -2 + 0.18x + 0.5x = 0.01(3x + -5) Combine like terms: 0.18x + 0.5x = 0.68x -2 + 0.68x = 0.01(3x + -5) Reorder the terms: -2 + 0.68x = 0.01(-5 + 3x) -2 + 0.68x = (-5 * 0.01 + 3x * 0.01) -2 + 0.68x = (-0.05 + 0.03x) Solving -2 + 0.68x = -0.05 + 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 + 0.68x + -0.03x = -0.05 + 0.03x + -0.03x Combine like terms: 0.68x + -0.03x = 0.65x -2 + 0.65x = -0.05 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -2 + 0.65x = -0.05 + 0.00 -2 + 0.65x = -0.05 Add '2' to each side of the equation. -2 + 2 + 0.65x = -0.05 + 2 Combine like terms: -2 + 2 = 0 0 + 0.65x = -0.05 + 2 0.65x = -0.05 + 2 Combine like terms: -0.05 + 2 = 1.95 0.65x = 1.95 Divide each side by '0.65'. x = 3 Simplifying x = 3
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