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Simplifying 0.12x + 0.2(x + -5) = 0.01(5x + -4) Reorder the terms: 0.12x + 0.2(-5 + x) = 0.01(5x + -4) 0.12x + (-5 * 0.2 + x * 0.2) = 0.01(5x + -4) 0.12x + (-1 + 0.2x) = 0.01(5x + -4) Reorder the terms: -1 + 0.12x + 0.2x = 0.01(5x + -4) Combine like terms: 0.12x + 0.2x = 0.32x -1 + 0.32x = 0.01(5x + -4) Reorder the terms: -1 + 0.32x = 0.01(-4 + 5x) -1 + 0.32x = (-4 * 0.01 + 5x * 0.01) -1 + 0.32x = (-0.04 + 0.05x) Solving -1 + 0.32x = -0.04 + 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. -1 + 0.32x + -0.05x = -0.04 + 0.05x + -0.05x Combine like terms: 0.32x + -0.05x = 0.27x -1 + 0.27x = -0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1 + 0.27x = -0.04 + 0.00 -1 + 0.27x = -0.04 Add '1' to each side of the equation. -1 + 1 + 0.27x = -0.04 + 1 Combine like terms: -1 + 1 = 0 0 + 0.27x = -0.04 + 1 0.27x = -0.04 + 1 Combine like terms: -0.04 + 1 = 0.96 0.27x = 0.96 Divide each side by '0.27'. x = 3.555555556 Simplifying x = 3.555555556
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