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Simplifying 2(x + 7) + (x + 6) + (x + -2) + -1(x + -1) = 0 Reorder the terms: 2(7 + x) + (x + 6) + (x + -2) + -1(x + -1) = 0 (7 * 2 + x * 2) + (x + 6) + (x + -2) + -1(x + -1) = 0 (14 + 2x) + (x + 6) + (x + -2) + -1(x + -1) = 0 Reorder the terms: 14 + 2x + (6 + x) + (x + -2) + -1(x + -1) = 0 Remove parenthesis around (6 + x) 14 + 2x + 6 + x + (x + -2) + -1(x + -1) = 0 Reorder the terms: 14 + 2x + 6 + x + (-2 + x) + -1(x + -1) = 0 Remove parenthesis around (-2 + x) 14 + 2x + 6 + x + -2 + x + -1(x + -1) = 0 Reorder the terms: 14 + 2x + 6 + x + -2 + x + -1(-1 + x) = 0 14 + 2x + 6 + x + -2 + x + (-1 * -1 + x * -1) = 0 14 + 2x + 6 + x + -2 + x + (1 + -1x) = 0 Reorder the terms: 14 + 6 + -2 + 1 + 2x + x + x + -1x = 0 Combine like terms: 14 + 6 = 20 20 + -2 + 1 + 2x + x + x + -1x = 0 Combine like terms: 20 + -2 = 18 18 + 1 + 2x + x + x + -1x = 0 Combine like terms: 18 + 1 = 19 19 + 2x + x + x + -1x = 0 Combine like terms: 2x + x = 3x 19 + 3x + x + -1x = 0 Combine like terms: 3x + x = 4x 19 + 4x + -1x = 0 Combine like terms: 4x + -1x = 3x 19 + 3x = 0 Solving 19 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 0 + -19 3x = 0 + -19 Combine like terms: 0 + -19 = -19 3x = -19 Divide each side by '3'. x = -6.333333333 Simplifying x = -6.333333333
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