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Simplifying 0.25(x + 10) + -0.03(x + -20) = -5.7 Reorder the terms: 0.25(10 + x) + -0.03(x + -20) = -5.7 (10 * 0.25 + x * 0.25) + -0.03(x + -20) = -5.7 (2.5 + 0.25x) + -0.03(x + -20) = -5.7 Reorder the terms: 2.5 + 0.25x + -0.03(-20 + x) = -5.7 2.5 + 0.25x + (-20 * -0.03 + x * -0.03) = -5.7 2.5 + 0.25x + (0.6 + -0.03x) = -5.7 Reorder the terms: 2.5 + 0.6 + 0.25x + -0.03x = -5.7 Combine like terms: 2.5 + 0.6 = 3.1 3.1 + 0.25x + -0.03x = -5.7 Combine like terms: 0.25x + -0.03x = 0.22x 3.1 + 0.22x = -5.7 Solving 3.1 + 0.22x = -5.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.1' to each side of the equation. 3.1 + -3.1 + 0.22x = -5.7 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + 0.22x = -5.7 + -3.1 0.22x = -5.7 + -3.1 Combine like terms: -5.7 + -3.1 = -8.8 0.22x = -8.8 Divide each side by '0.22'. x = -40 Simplifying x = -40
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