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Simplifying 6(2 + -1x) + -8x = 8(x + 7) (2 * 6 + -1x * 6) + -8x = 8(x + 7) (12 + -6x) + -8x = 8(x + 7) Combine like terms: -6x + -8x = -14x 12 + -14x = 8(x + 7) Reorder the terms: 12 + -14x = 8(7 + x) 12 + -14x = (7 * 8 + x * 8) 12 + -14x = (56 + 8x) Solving 12 + -14x = 56 + 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. 12 + -14x + -8x = 56 + 8x + -8x Combine like terms: -14x + -8x = -22x 12 + -22x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -22x = 56 + 0 12 + -22x = 56 Add '-12' to each side of the equation. 12 + -12 + -22x = 56 + -12 Combine like terms: 12 + -12 = 0 0 + -22x = 56 + -12 -22x = 56 + -12 Combine like terms: 56 + -12 = 44 -22x = 44 Divide each side by '-22'. x = -2 Simplifying x = -2
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