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Simplifying (0.04)(x) + (0.06)(1200 + -1x) = 62 0.04x + (1200 * 0.06 + -1x * 0.06) = 62 0.04x + (72 + -0.06x) = 62 Reorder the terms: 72 + 0.04x + -0.06x = 62 Combine like terms: 0.04x + -0.06x = -0.02x 72 + -0.02x = 62 Solving 72 + -0.02x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -0.02x = 62 + -72 Combine like terms: 72 + -72 = 0 0 + -0.02x = 62 + -72 -0.02x = 62 + -72 Combine like terms: 62 + -72 = -10 -0.02x = -10 Divide each side by '-0.02'. x = 500 Simplifying x = 500
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