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Simplifying 0.12x + 0.2(x + -1) = 0.01(3x + -5) Reorder the terms: 0.12x + 0.2(-1 + x) = 0.01(3x + -5) 0.12x + (-1 * 0.2 + x * 0.2) = 0.01(3x + -5) 0.12x + (-0.2 + 0.2x) = 0.01(3x + -5) Reorder the terms: -0.2 + 0.12x + 0.2x = 0.01(3x + -5) Combine like terms: 0.12x + 0.2x = 0.32x -0.2 + 0.32x = 0.01(3x + -5) Reorder the terms: -0.2 + 0.32x = 0.01(-5 + 3x) -0.2 + 0.32x = (-5 * 0.01 + 3x * 0.01) -0.2 + 0.32x = (-0.05 + 0.03x) Solving -0.2 + 0.32x = -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. -0.2 + 0.32x + -0.03x = -0.05 + 0.03x + -0.03x Combine like terms: 0.32x + -0.03x = 0.29x -0.2 + 0.29x = -0.05 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.2 + 0.29x = -0.05 + 0.00 -0.2 + 0.29x = -0.05 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.29x = -0.05 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.29x = -0.05 + 0.2 0.29x = -0.05 + 0.2 Combine like terms: -0.05 + 0.2 = 0.15 0.29x = 0.15 Divide each side by '0.29'. x = 0.5172413793 Simplifying x = 0.5172413793
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