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Simplifying 7(x + 5) + 2(x + -6) = 32 Reorder the terms: 7(5 + x) + 2(x + -6) = 32 (5 * 7 + x * 7) + 2(x + -6) = 32 (35 + 7x) + 2(x + -6) = 32 Reorder the terms: 35 + 7x + 2(-6 + x) = 32 35 + 7x + (-6 * 2 + x * 2) = 32 35 + 7x + (-12 + 2x) = 32 Reorder the terms: 35 + -12 + 7x + 2x = 32 Combine like terms: 35 + -12 = 23 23 + 7x + 2x = 32 Combine like terms: 7x + 2x = 9x 23 + 9x = 32 Solving 23 + 9x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 9x = 32 + -23 Combine like terms: 23 + -23 = 0 0 + 9x = 32 + -23 9x = 32 + -23 Combine like terms: 32 + -23 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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