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Simplifying 68 = -2(x + 6) + -2(7x + 8) Reorder the terms: 68 = -2(6 + x) + -2(7x + 8) 68 = (6 * -2 + x * -2) + -2(7x + 8) 68 = (-12 + -2x) + -2(7x + 8) Reorder the terms: 68 = -12 + -2x + -2(8 + 7x) 68 = -12 + -2x + (8 * -2 + 7x * -2) 68 = -12 + -2x + (-16 + -14x) Reorder the terms: 68 = -12 + -16 + -2x + -14x Combine like terms: -12 + -16 = -28 68 = -28 + -2x + -14x Combine like terms: -2x + -14x = -16x 68 = -28 + -16x Solving 68 = -28 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 68 + 16x = -28 + -16x + 16x Combine like terms: -16x + 16x = 0 68 + 16x = -28 + 0 68 + 16x = -28 Add '-68' to each side of the equation. 68 + -68 + 16x = -28 + -68 Combine like terms: 68 + -68 = 0 0 + 16x = -28 + -68 16x = -28 + -68 Combine like terms: -28 + -68 = -96 16x = -96 Divide each side by '16'. x = -6 Simplifying x = -6
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