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Simplifying 5.12(x) + 12.42(45 + -1x) = 500 5.12x + (45 * 12.42 + -1x * 12.42) = 500 5.12x + (558.9 + -12.42x) = 500 Reorder the terms: 558.9 + 5.12x + -12.42x = 500 Combine like terms: 5.12x + -12.42x = -7.3x 558.9 + -7.3x = 500 Solving 558.9 + -7.3x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-558.9' to each side of the equation. 558.9 + -558.9 + -7.3x = 500 + -558.9 Combine like terms: 558.9 + -558.9 = 0.0 0.0 + -7.3x = 500 + -558.9 -7.3x = 500 + -558.9 Combine like terms: 500 + -558.9 = -58.9 -7.3x = -58.9 Divide each side by '-7.3'. x = 8.068493151 Simplifying x = 8.068493151
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