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Simplifying 68 = -8(1 + 6x) + -7(2x + -2) 68 = (1 * -8 + 6x * -8) + -7(2x + -2) 68 = (-8 + -48x) + -7(2x + -2) Reorder the terms: 68 = -8 + -48x + -7(-2 + 2x) 68 = -8 + -48x + (-2 * -7 + 2x * -7) 68 = -8 + -48x + (14 + -14x) Reorder the terms: 68 = -8 + 14 + -48x + -14x Combine like terms: -8 + 14 = 6 68 = 6 + -48x + -14x Combine like terms: -48x + -14x = -62x 68 = 6 + -62x Solving 68 = 6 + -62x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62x' to each side of the equation. 68 + 62x = 6 + -62x + 62x Combine like terms: -62x + 62x = 0 68 + 62x = 6 + 0 68 + 62x = 6 Add '-68' to each side of the equation. 68 + -68 + 62x = 6 + -68 Combine like terms: 68 + -68 = 0 0 + 62x = 6 + -68 62x = 6 + -68 Combine like terms: 6 + -68 = -62 62x = -62 Divide each side by '62'. x = -1 Simplifying x = -1
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