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Simplifying 7(x + -8) = 6(x + 2) Reorder the terms: 7(-8 + x) = 6(x + 2) (-8 * 7 + x * 7) = 6(x + 2) (-56 + 7x) = 6(x + 2) Reorder the terms: -56 + 7x = 6(2 + x) -56 + 7x = (2 * 6 + x * 6) -56 + 7x = (12 + 6x) Solving -56 + 7x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -56 + 7x + -6x = 12 + 6x + -6x Combine like terms: 7x + -6x = 1x -56 + 1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -56 + 1x = 12 + 0 -56 + 1x = 12 Add '56' to each side of the equation. -56 + 56 + 1x = 12 + 56 Combine like terms: -56 + 56 = 0 0 + 1x = 12 + 56 1x = 12 + 56 Combine like terms: 12 + 56 = 68 1x = 68 Divide each side by '1'. x = 68 Simplifying x = 68
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