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Simplifying -2 + -1(x + 7) + 3(x + 7) + 2 = 6 Reorder the terms: -2 + -1(7 + x) + 3(x + 7) + 2 = 6 -2 + (7 * -1 + x * -1) + 3(x + 7) + 2 = 6 -2 + (-7 + -1x) + 3(x + 7) + 2 = 6 Reorder the terms: -2 + -7 + -1x + 3(7 + x) + 2 = 6 -2 + -7 + -1x + (7 * 3 + x * 3) + 2 = 6 -2 + -7 + -1x + (21 + 3x) + 2 = 6 Reorder the terms: -2 + -7 + 21 + 2 + -1x + 3x = 6 Combine like terms: -2 + -7 = -9 -9 + 21 + 2 + -1x + 3x = 6 Combine like terms: -9 + 21 = 12 12 + 2 + -1x + 3x = 6 Combine like terms: 12 + 2 = 14 14 + -1x + 3x = 6 Combine like terms: -1x + 3x = 2x 14 + 2x = 6 Solving 14 + 2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 6 + -14 2x = 6 + -14 Combine like terms: 6 + -14 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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