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Simplifying 0.04x + 0.03(1500 + -1x) = 49 0.04x + (1500 * 0.03 + -1x * 0.03) = 49 0.04x + (45 + -0.03x) = 49 Reorder the terms: 45 + 0.04x + -0.03x = 49 Combine like terms: 0.04x + -0.03x = 0.01x 45 + 0.01x = 49 Solving 45 + 0.01x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 0.01x = 49 + -45 Combine like terms: 45 + -45 = 0 0 + 0.01x = 49 + -45 0.01x = 49 + -45 Combine like terms: 49 + -45 = 4 0.01x = 4 Divide each side by '0.01'. x = 400 Simplifying x = 400
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