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Simplifying (7x + 8) + -2(x + -6) = 35 Reorder the terms: (8 + 7x) + -2(x + -6) = 35 Remove parenthesis around (8 + 7x) 8 + 7x + -2(x + -6) = 35 Reorder the terms: 8 + 7x + -2(-6 + x) = 35 8 + 7x + (-6 * -2 + x * -2) = 35 8 + 7x + (12 + -2x) = 35 Reorder the terms: 8 + 12 + 7x + -2x = 35 Combine like terms: 8 + 12 = 20 20 + 7x + -2x = 35 Combine like terms: 7x + -2x = 5x 20 + 5x = 35 Solving 20 + 5x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5x = 35 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 35 + -20 5x = 35 + -20 Combine like terms: 35 + -20 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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