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Simplifying 0.03(x + 10) + 0.04(x + -5) = 2.2 Reorder the terms: 0.03(10 + x) + 0.04(x + -5) = 2.2 (10 * 0.03 + x * 0.03) + 0.04(x + -5) = 2.2 (0.3 + 0.03x) + 0.04(x + -5) = 2.2 Reorder the terms: 0.3 + 0.03x + 0.04(-5 + x) = 2.2 0.3 + 0.03x + (-5 * 0.04 + x * 0.04) = 2.2 0.3 + 0.03x + (-0.2 + 0.04x) = 2.2 Reorder the terms: 0.3 + -0.2 + 0.03x + 0.04x = 2.2 Combine like terms: 0.3 + -0.2 = 0.1 0.1 + 0.03x + 0.04x = 2.2 Combine like terms: 0.03x + 0.04x = 0.07x 0.1 + 0.07x = 2.2 Solving 0.1 + 0.07x = 2.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.07x = 2.2 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.07x = 2.2 + -0.1 0.07x = 2.2 + -0.1 Combine like terms: 2.2 + -0.1 = 2.1 0.07x = 2.1 Divide each side by '0.07'. x = 30 Simplifying x = 30
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