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Simplifying 0.66x + 0.52(80) = 0.32(168) + -0.10x Multiply 0.52 * 80 0.66x + 41.6 = 0.32(168) + -0.10x Reorder the terms: 41.6 + 0.66x = 0.32(168) + -0.10x Multiply 0.32 * 168 41.6 + 0.66x = 53.76 + -0.10x Solving 41.6 + 0.66x = 53.76 + -0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.10x' to each side of the equation. 41.6 + 0.66x + 0.10x = 53.76 + -0.10x + 0.10x Combine like terms: 0.66x + 0.10x = 0.76x 41.6 + 0.76x = 53.76 + -0.10x + 0.10x Combine like terms: -0.10x + 0.10x = 0.00 41.6 + 0.76x = 53.76 + 0.00 41.6 + 0.76x = 53.76 Add '-41.6' to each side of the equation. 41.6 + -41.6 + 0.76x = 53.76 + -41.6 Combine like terms: 41.6 + -41.6 = 0.0 0.0 + 0.76x = 53.76 + -41.6 0.76x = 53.76 + -41.6 Combine like terms: 53.76 + -41.6 = 12.16 0.76x = 12.16 Divide each side by '0.76'. x = 16 Simplifying x = 16
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