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Simplifying 7(x + 5) + 2(x + 5) = 7x + -7 Reorder the terms: 7(5 + x) + 2(x + 5) = 7x + -7 (5 * 7 + x * 7) + 2(x + 5) = 7x + -7 (35 + 7x) + 2(x + 5) = 7x + -7 Reorder the terms: 35 + 7x + 2(5 + x) = 7x + -7 35 + 7x + (5 * 2 + x * 2) = 7x + -7 35 + 7x + (10 + 2x) = 7x + -7 Reorder the terms: 35 + 10 + 7x + 2x = 7x + -7 Combine like terms: 35 + 10 = 45 45 + 7x + 2x = 7x + -7 Combine like terms: 7x + 2x = 9x 45 + 9x = 7x + -7 Reorder the terms: 45 + 9x = -7 + 7x Solving 45 + 9x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 45 + 9x + -7x = -7 + 7x + -7x Combine like terms: 9x + -7x = 2x 45 + 2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + 2x = -7 + 0 45 + 2x = -7 Add '-45' to each side of the equation. 45 + -45 + 2x = -7 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = -7 + -45 2x = -7 + -45 Combine like terms: -7 + -45 = -52 2x = -52 Divide each side by '2'. x = -26 Simplifying x = -26
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