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Simplifying 4.5x + 6.5(100 + -1x) = 500 4.5x + (100 * 6.5 + -1x * 6.5) = 500 4.5x + (650 + -6.5x) = 500 Reorder the terms: 650 + 4.5x + -6.5x = 500 Combine like terms: 4.5x + -6.5x = -2x 650 + -2x = 500 Solving 650 + -2x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-650' to each side of the equation. 650 + -650 + -2x = 500 + -650 Combine like terms: 650 + -650 = 0 0 + -2x = 500 + -650 -2x = 500 + -650 Combine like terms: 500 + -650 = -150 -2x = -150 Divide each side by '-2'. x = 75 Simplifying x = 75
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