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Simplifying 0.1(x + 10) + -0.08(x + -30) = 3 Reorder the terms: 0.1(10 + x) + -0.08(x + -30) = 3 (10 * 0.1 + x * 0.1) + -0.08(x + -30) = 3 (1 + 0.1x) + -0.08(x + -30) = 3 Reorder the terms: 1 + 0.1x + -0.08(-30 + x) = 3 1 + 0.1x + (-30 * -0.08 + x * -0.08) = 3 1 + 0.1x + (2.4 + -0.08x) = 3 Reorder the terms: 1 + 2.4 + 0.1x + -0.08x = 3 Combine like terms: 1 + 2.4 = 3.4 3.4 + 0.1x + -0.08x = 3 Combine like terms: 0.1x + -0.08x = 0.02x 3.4 + 0.02x = 3 Solving 3.4 + 0.02x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4' to each side of the equation. 3.4 + -3.4 + 0.02x = 3 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + 0.02x = 3 + -3.4 0.02x = 3 + -3.4 Combine like terms: 3 + -3.4 = -0.4 0.02x = -0.4 Divide each side by '0.02'. x = -20 Simplifying x = -20
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