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Simplifying 0.15(x + 20) + -0.04(x + -60) = 1.2 Reorder the terms: 0.15(20 + x) + -0.04(x + -60) = 1.2 (20 * 0.15 + x * 0.15) + -0.04(x + -60) = 1.2 (3 + 0.15x) + -0.04(x + -60) = 1.2 Reorder the terms: 3 + 0.15x + -0.04(-60 + x) = 1.2 3 + 0.15x + (-60 * -0.04 + x * -0.04) = 1.2 3 + 0.15x + (2.4 + -0.04x) = 1.2 Reorder the terms: 3 + 2.4 + 0.15x + -0.04x = 1.2 Combine like terms: 3 + 2.4 = 5.4 5.4 + 0.15x + -0.04x = 1.2 Combine like terms: 0.15x + -0.04x = 0.11x 5.4 + 0.11x = 1.2 Solving 5.4 + 0.11x = 1.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4' to each side of the equation. 5.4 + -5.4 + 0.11x = 1.2 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 0.11x = 1.2 + -5.4 0.11x = 1.2 + -5.4 Combine like terms: 1.2 + -5.4 = -4.2 0.11x = -4.2 Divide each side by '0.11'. x = -38.18181818 Simplifying x = -38.18181818
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