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Simplifying 0.03(4 + -1x) + -0.05(x + 2) = 0.82 (4 * 0.03 + -1x * 0.03) + -0.05(x + 2) = 0.82 (0.12 + -0.03x) + -0.05(x + 2) = 0.82 Reorder the terms: 0.12 + -0.03x + -0.05(2 + x) = 0.82 0.12 + -0.03x + (2 * -0.05 + x * -0.05) = 0.82 0.12 + -0.03x + (-0.1 + -0.05x) = 0.82 Reorder the terms: 0.12 + -0.1 + -0.03x + -0.05x = 0.82 Combine like terms: 0.12 + -0.1 = 0.02 0.02 + -0.03x + -0.05x = 0.82 Combine like terms: -0.03x + -0.05x = -0.08x 0.02 + -0.08x = 0.82 Solving 0.02 + -0.08x = 0.82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02' to each side of the equation. 0.02 + -0.02 + -0.08x = 0.82 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + -0.08x = 0.82 + -0.02 -0.08x = 0.82 + -0.02 Combine like terms: 0.82 + -0.02 = 0.8 -0.08x = 0.8 Divide each side by '-0.08'. x = -10 Simplifying x = -10
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