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Simplifying -2 + -2(x + 7) + 3(x + 7) + 2 = 6 Reorder the terms: -2 + -2(7 + x) + 3(x + 7) + 2 = 6 -2 + (7 * -2 + x * -2) + 3(x + 7) + 2 = 6 -2 + (-14 + -2x) + 3(x + 7) + 2 = 6 Reorder the terms: -2 + -14 + -2x + 3(7 + x) + 2 = 6 -2 + -14 + -2x + (7 * 3 + x * 3) + 2 = 6 -2 + -14 + -2x + (21 + 3x) + 2 = 6 Reorder the terms: -2 + -14 + 21 + 2 + -2x + 3x = 6 Combine like terms: -2 + -14 = -16 -16 + 21 + 2 + -2x + 3x = 6 Combine like terms: -16 + 21 = 5 5 + 2 + -2x + 3x = 6 Combine like terms: 5 + 2 = 7 7 + -2x + 3x = 6 Combine like terms: -2x + 3x = 1x 7 + 1x = 6 Solving 7 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 6 + -7 1x = 6 + -7 Combine like terms: 6 + -7 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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