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Simplifying 2(-6x + 1) + 7 = 29 + -8x Reorder the terms: 2(1 + -6x) + 7 = 29 + -8x (1 * 2 + -6x * 2) + 7 = 29 + -8x (2 + -12x) + 7 = 29 + -8x Reorder the terms: 2 + 7 + -12x = 29 + -8x Combine like terms: 2 + 7 = 9 9 + -12x = 29 + -8x Solving 9 + -12x = 29 + -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. 9 + -12x + 8x = 29 + -8x + 8x Combine like terms: -12x + 8x = -4x 9 + -4x = 29 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + -4x = 29 + 0 9 + -4x = 29 Add '-9' to each side of the equation. 9 + -9 + -4x = 29 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 29 + -9 -4x = 29 + -9 Combine like terms: 29 + -9 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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