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Simplifying 7(x + 1) + 2(x + 1) = 6x + -6 Reorder the terms: 7(1 + x) + 2(x + 1) = 6x + -6 (1 * 7 + x * 7) + 2(x + 1) = 6x + -6 (7 + 7x) + 2(x + 1) = 6x + -6 Reorder the terms: 7 + 7x + 2(1 + x) = 6x + -6 7 + 7x + (1 * 2 + x * 2) = 6x + -6 7 + 7x + (2 + 2x) = 6x + -6 Reorder the terms: 7 + 2 + 7x + 2x = 6x + -6 Combine like terms: 7 + 2 = 9 9 + 7x + 2x = 6x + -6 Combine like terms: 7x + 2x = 9x 9 + 9x = 6x + -6 Reorder the terms: 9 + 9x = -6 + 6x Solving 9 + 9x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 9x + -6x = -6 + 6x + -6x Combine like terms: 9x + -6x = 3x 9 + 3x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 3x = -6 + 0 9 + 3x = -6 Add '-9' to each side of the equation. 9 + -9 + 3x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = -6 + -9 3x = -6 + -9 Combine like terms: -6 + -9 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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