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Simplifying 0.03(x + -40) + 0.9(x + 10) = 4.5 Reorder the terms: 0.03(-40 + x) + 0.9(x + 10) = 4.5 (-40 * 0.03 + x * 0.03) + 0.9(x + 10) = 4.5 (-1.2 + 0.03x) + 0.9(x + 10) = 4.5 Reorder the terms: -1.2 + 0.03x + 0.9(10 + x) = 4.5 -1.2 + 0.03x + (10 * 0.9 + x * 0.9) = 4.5 -1.2 + 0.03x + (9 + 0.9x) = 4.5 Reorder the terms: -1.2 + 9 + 0.03x + 0.9x = 4.5 Combine like terms: -1.2 + 9 = 7.8 7.8 + 0.03x + 0.9x = 4.5 Combine like terms: 0.03x + 0.9x = 0.93x 7.8 + 0.93x = 4.5 Solving 7.8 + 0.93x = 4.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.8' to each side of the equation. 7.8 + -7.8 + 0.93x = 4.5 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + 0.93x = 4.5 + -7.8 0.93x = 4.5 + -7.8 Combine like terms: 4.5 + -7.8 = -3.3 0.93x = -3.3 Divide each side by '0.93'. x = -3.548387097 Simplifying x = -3.548387097
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