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Simplifying 85(10) + 40x = 65(10 + x) Multiply 85 * 10 850 + 40x = 65(10 + x) 850 + 40x = (10 * 65 + x * 65) 850 + 40x = (650 + 65x) Solving 850 + 40x = 650 + 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. 850 + 40x + -65x = 650 + 65x + -65x Combine like terms: 40x + -65x = -25x 850 + -25x = 650 + 65x + -65x Combine like terms: 65x + -65x = 0 850 + -25x = 650 + 0 850 + -25x = 650 Add '-850' to each side of the equation. 850 + -850 + -25x = 650 + -850 Combine like terms: 850 + -850 = 0 0 + -25x = 650 + -850 -25x = 650 + -850 Combine like terms: 650 + -850 = -200 -25x = -200 Divide each side by '-25'. x = 8 Simplifying x = 8
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