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Simplifying 0.12x + 0.8(x + -4) = 0.01(3x + -4) Reorder the terms: 0.12x + 0.8(-4 + x) = 0.01(3x + -4) 0.12x + (-4 * 0.8 + x * 0.8) = 0.01(3x + -4) 0.12x + (-3.2 + 0.8x) = 0.01(3x + -4) Reorder the terms: -3.2 + 0.12x + 0.8x = 0.01(3x + -4) Combine like terms: 0.12x + 0.8x = 0.92x -3.2 + 0.92x = 0.01(3x + -4) Reorder the terms: -3.2 + 0.92x = 0.01(-4 + 3x) -3.2 + 0.92x = (-4 * 0.01 + 3x * 0.01) -3.2 + 0.92x = (-0.04 + 0.03x) Solving -3.2 + 0.92x = -0.04 + 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 + 0.92x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.92x + -0.03x = 0.89x -3.2 + 0.89x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -3.2 + 0.89x = -0.04 + 0.00 -3.2 + 0.89x = -0.04 Add '3.2' to each side of the equation. -3.2 + 3.2 + 0.89x = -0.04 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 0.89x = -0.04 + 3.2 0.89x = -0.04 + 3.2 Combine like terms: -0.04 + 3.2 = 3.16 0.89x = 3.16 Divide each side by '0.89'. x = 3.550561798 Simplifying x = 3.550561798
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