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Simplifying 0.6(x + 100) = 0.68x + -524 Reorder the terms: 0.6(100 + x) = 0.68x + -524 (100 * 0.6 + x * 0.6) = 0.68x + -524 (60 + 0.6x) = 0.68x + -524 Reorder the terms: 60 + 0.6x = -524 + 0.68x Solving 60 + 0.6x = -524 + 0.68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.68x' to each side of the equation. 60 + 0.6x + -0.68x = -524 + 0.68x + -0.68x Combine like terms: 0.6x + -0.68x = -0.08x 60 + -0.08x = -524 + 0.68x + -0.68x Combine like terms: 0.68x + -0.68x = 0.00 60 + -0.08x = -524 + 0.00 60 + -0.08x = -524 Add '-60' to each side of the equation. 60 + -60 + -0.08x = -524 + -60 Combine like terms: 60 + -60 = 0 0 + -0.08x = -524 + -60 -0.08x = -524 + -60 Combine like terms: -524 + -60 = -584 -0.08x = -584 Divide each side by '-0.08'. x = 7300 Simplifying x = 7300
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