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Simplifying 8(10 + 9x) + -7(8 + 10x) = 26 (10 * 8 + 9x * 8) + -7(8 + 10x) = 26 (80 + 72x) + -7(8 + 10x) = 26 80 + 72x + (8 * -7 + 10x * -7) = 26 80 + 72x + (-56 + -70x) = 26 Reorder the terms: 80 + -56 + 72x + -70x = 26 Combine like terms: 80 + -56 = 24 24 + 72x + -70x = 26 Combine like terms: 72x + -70x = 2x 24 + 2x = 26 Solving 24 + 2x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2x = 26 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 26 + -24 2x = 26 + -24 Combine like terms: 26 + -24 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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