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Simplifying x(0.03) + 2x(0.04) + 1000 + x(0.05) = 370 Reorder the terms for easier multiplication: 0.03x + 2x(0.04) + 1000 + x(0.05) = 370 Reorder the terms for easier multiplication: 0.03x + 2 * 0.04x + 1000 + x(0.05) = 370 Multiply 2 * 0.04 0.03x + 0.08x + 1000 + x(0.05) = 370 Reorder the terms for easier multiplication: 0.03x + 0.08x + 1000 + 0.05x = 370 Reorder the terms: 1000 + 0.03x + 0.08x + 0.05x = 370 Combine like terms: 0.03x + 0.08x = 0.11x 1000 + 0.11x + 0.05x = 370 Combine like terms: 0.11x + 0.05x = 0.16x 1000 + 0.16x = 370 Solving 1000 + 0.16x = 370 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + 0.16x = 370 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 0.16x = 370 + -1000 0.16x = 370 + -1000 Combine like terms: 370 + -1000 = -630 0.16x = -630 Divide each side by '0.16'. x = -3937.5 Simplifying x = -3937.5
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