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Simplifying 0.16x + 0.8(x + -4) = 0.01(3x + -2) Reorder the terms: 0.16x + 0.8(-4 + x) = 0.01(3x + -2) 0.16x + (-4 * 0.8 + x * 0.8) = 0.01(3x + -2) 0.16x + (-3.2 + 0.8x) = 0.01(3x + -2) Reorder the terms: -3.2 + 0.16x + 0.8x = 0.01(3x + -2) Combine like terms: 0.16x + 0.8x = 0.96x -3.2 + 0.96x = 0.01(3x + -2) Reorder the terms: -3.2 + 0.96x = 0.01(-2 + 3x) -3.2 + 0.96x = (-2 * 0.01 + 3x * 0.01) -3.2 + 0.96x = (-0.02 + 0.03x) Solving -3.2 + 0.96x = -0.02 + 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. -3.2 + 0.96x + -0.03x = -0.02 + 0.03x + -0.03x Combine like terms: 0.96x + -0.03x = 0.93x -3.2 + 0.93x = -0.02 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -3.2 + 0.93x = -0.02 + 0.00 -3.2 + 0.93x = -0.02 Add '3.2' to each side of the equation. -3.2 + 3.2 + 0.93x = -0.02 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 0.93x = -0.02 + 3.2 0.93x = -0.02 + 3.2 Combine like terms: -0.02 + 3.2 = 3.18 0.93x = 3.18 Divide each side by '0.93'. x = 3.419354839 Simplifying x = 3.419354839
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