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Simplifying 7(x + 1) + 2(1 + 2x) = 3x + -1x Reorder the terms: 7(1 + x) + 2(1 + 2x) = 3x + -1x (1 * 7 + x * 7) + 2(1 + 2x) = 3x + -1x (7 + 7x) + 2(1 + 2x) = 3x + -1x 7 + 7x + (1 * 2 + 2x * 2) = 3x + -1x 7 + 7x + (2 + 4x) = 3x + -1x Reorder the terms: 7 + 2 + 7x + 4x = 3x + -1x Combine like terms: 7 + 2 = 9 9 + 7x + 4x = 3x + -1x Combine like terms: 7x + 4x = 11x 9 + 11x = 3x + -1x Combine like terms: 3x + -1x = 2x 9 + 11x = 2x Solving 9 + 11x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 11x + -2x = 2x + -2x Combine like terms: 11x + -2x = 9x 9 + 9x = 2x + -2x Combine like terms: 2x + -2x = 0 9 + 9x = 0 Add '-9' to each side of the equation. 9 + -9 + 9x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 0 + -9 9x = 0 + -9 Combine like terms: 0 + -9 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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