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Simplifying 0.15(x + 50) + -0.07(x + -20) = 6.5 Reorder the terms: 0.15(50 + x) + -0.07(x + -20) = 6.5 (50 * 0.15 + x * 0.15) + -0.07(x + -20) = 6.5 (7.5 + 0.15x) + -0.07(x + -20) = 6.5 Reorder the terms: 7.5 + 0.15x + -0.07(-20 + x) = 6.5 7.5 + 0.15x + (-20 * -0.07 + x * -0.07) = 6.5 7.5 + 0.15x + (1.4 + -0.07x) = 6.5 Reorder the terms: 7.5 + 1.4 + 0.15x + -0.07x = 6.5 Combine like terms: 7.5 + 1.4 = 8.9 8.9 + 0.15x + -0.07x = 6.5 Combine like terms: 0.15x + -0.07x = 0.08x 8.9 + 0.08x = 6.5 Solving 8.9 + 0.08x = 6.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.9' to each side of the equation. 8.9 + -8.9 + 0.08x = 6.5 + -8.9 Combine like terms: 8.9 + -8.9 = 0.0 0.0 + 0.08x = 6.5 + -8.9 0.08x = 6.5 + -8.9 Combine like terms: 6.5 + -8.9 = -2.4 0.08x = -2.4 Divide each side by '0.08'. x = -30 Simplifying x = -30
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