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Simplifying 0.25(x + 20) + -0.06(x + -30) = -0.8 Reorder the terms: 0.25(20 + x) + -0.06(x + -30) = -0.8 (20 * 0.25 + x * 0.25) + -0.06(x + -30) = -0.8 (5 + 0.25x) + -0.06(x + -30) = -0.8 Reorder the terms: 5 + 0.25x + -0.06(-30 + x) = -0.8 5 + 0.25x + (-30 * -0.06 + x * -0.06) = -0.8 5 + 0.25x + (1.8 + -0.06x) = -0.8 Reorder the terms: 5 + 1.8 + 0.25x + -0.06x = -0.8 Combine like terms: 5 + 1.8 = 6.8 6.8 + 0.25x + -0.06x = -0.8 Combine like terms: 0.25x + -0.06x = 0.19x 6.8 + 0.19x = -0.8 Solving 6.8 + 0.19x = -0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.8' to each side of the equation. 6.8 + -6.8 + 0.19x = -0.8 + -6.8 Combine like terms: 6.8 + -6.8 = 0.0 0.0 + 0.19x = -0.8 + -6.8 0.19x = -0.8 + -6.8 Combine like terms: -0.8 + -6.8 = -7.6 0.19x = -7.6 Divide each side by '0.19'. x = -40 Simplifying x = -40
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