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Simplifying 6x + (x + 1) = 17 + 2(4x + 7) Reorder the terms: 6x + (1 + x) = 17 + 2(4x + 7) Remove parenthesis around (1 + x) 6x + 1 + x = 17 + 2(4x + 7) Reorder the terms: 1 + 6x + x = 17 + 2(4x + 7) Combine like terms: 6x + x = 7x 1 + 7x = 17 + 2(4x + 7) Reorder the terms: 1 + 7x = 17 + 2(7 + 4x) 1 + 7x = 17 + (7 * 2 + 4x * 2) 1 + 7x = 17 + (14 + 8x) Combine like terms: 17 + 14 = 31 1 + 7x = 31 + 8x Solving 1 + 7x = 31 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 7x + -8x = 31 + 8x + -8x Combine like terms: 7x + -8x = -1x 1 + -1x = 31 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -1x = 31 + 0 1 + -1x = 31 Add '-1' to each side of the equation. 1 + -1 + -1x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 31 + -1 -1x = 31 + -1 Combine like terms: 31 + -1 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30
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