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Simplifying -1(x + 7) + 2(-8x + 4) = -67 Reorder the terms: -1(7 + x) + 2(-8x + 4) = -67 (7 * -1 + x * -1) + 2(-8x + 4) = -67 (-7 + -1x) + 2(-8x + 4) = -67 Reorder the terms: -7 + -1x + 2(4 + -8x) = -67 -7 + -1x + (4 * 2 + -8x * 2) = -67 -7 + -1x + (8 + -16x) = -67 Reorder the terms: -7 + 8 + -1x + -16x = -67 Combine like terms: -7 + 8 = 1 1 + -1x + -16x = -67 Combine like terms: -1x + -16x = -17x 1 + -17x = -67 Solving 1 + -17x = -67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -17x = -67 + -1 Combine like terms: 1 + -1 = 0 0 + -17x = -67 + -1 -17x = -67 + -1 Combine like terms: -67 + -1 = -68 -17x = -68 Divide each side by '-17'. x = 4 Simplifying x = 4
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