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Simplifying 0.12x + 0.2(x + -5) = 0.01(3x + -3) Reorder the terms: 0.12x + 0.2(-5 + x) = 0.01(3x + -3) 0.12x + (-5 * 0.2 + x * 0.2) = 0.01(3x + -3) 0.12x + (-1 + 0.2x) = 0.01(3x + -3) Reorder the terms: -1 + 0.12x + 0.2x = 0.01(3x + -3) Combine like terms: 0.12x + 0.2x = 0.32x -1 + 0.32x = 0.01(3x + -3) Reorder the terms: -1 + 0.32x = 0.01(-3 + 3x) -1 + 0.32x = (-3 * 0.01 + 3x * 0.01) -1 + 0.32x = (-0.03 + 0.03x) Solving -1 + 0.32x = -0.03 + 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. -1 + 0.32x + -0.03x = -0.03 + 0.03x + -0.03x Combine like terms: 0.32x + -0.03x = 0.29x -1 + 0.29x = -0.03 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1 + 0.29x = -0.03 + 0.00 -1 + 0.29x = -0.03 Add '1' to each side of the equation. -1 + 1 + 0.29x = -0.03 + 1 Combine like terms: -1 + 1 = 0 0 + 0.29x = -0.03 + 1 0.29x = -0.03 + 1 Combine like terms: -0.03 + 1 = 0.97 0.29x = 0.97 Divide each side by '0.29'. x = 3.344827586 Simplifying x = 3.344827586
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