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Simplifying 0.2(x + 60) + -0.08(x + -30) = 8.4 Reorder the terms: 0.2(60 + x) + -0.08(x + -30) = 8.4 (60 * 0.2 + x * 0.2) + -0.08(x + -30) = 8.4 (12 + 0.2x) + -0.08(x + -30) = 8.4 Reorder the terms: 12 + 0.2x + -0.08(-30 + x) = 8.4 12 + 0.2x + (-30 * -0.08 + x * -0.08) = 8.4 12 + 0.2x + (2.4 + -0.08x) = 8.4 Reorder the terms: 12 + 2.4 + 0.2x + -0.08x = 8.4 Combine like terms: 12 + 2.4 = 14.4 14.4 + 0.2x + -0.08x = 8.4 Combine like terms: 0.2x + -0.08x = 0.12x 14.4 + 0.12x = 8.4 Solving 14.4 + 0.12x = 8.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.4' to each side of the equation. 14.4 + -14.4 + 0.12x = 8.4 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + 0.12x = 8.4 + -14.4 0.12x = 8.4 + -14.4 Combine like terms: 8.4 + -14.4 = -6 0.12x = -6 Divide each side by '0.12'. x = -50 Simplifying x = -50
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