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Simplifying 0.25(x + 10) + -0.05(x + -30) = 0 Reorder the terms: 0.25(10 + x) + -0.05(x + -30) = 0 (10 * 0.25 + x * 0.25) + -0.05(x + -30) = 0 (2.5 + 0.25x) + -0.05(x + -30) = 0 Reorder the terms: 2.5 + 0.25x + -0.05(-30 + x) = 0 2.5 + 0.25x + (-30 * -0.05 + x * -0.05) = 0 2.5 + 0.25x + (1.5 + -0.05x) = 0 Reorder the terms: 2.5 + 1.5 + 0.25x + -0.05x = 0 Combine like terms: 2.5 + 1.5 = 4 4 + 0.25x + -0.05x = 0 Combine like terms: 0.25x + -0.05x = 0.2x 4 + 0.2x = 0 Solving 4 + 0.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 0.2x = 0 + -4 0.2x = 0 + -4 Combine like terms: 0 + -4 = -4 0.2x = -4 Divide each side by '0.2'. x = -20 Simplifying x = -20
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