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Simplifying 7(x + -8) = 7 + -1(3 + -1x) Reorder the terms: 7(-8 + x) = 7 + -1(3 + -1x) (-8 * 7 + x * 7) = 7 + -1(3 + -1x) (-56 + 7x) = 7 + -1(3 + -1x) -56 + 7x = 7 + (3 * -1 + -1x * -1) -56 + 7x = 7 + (-3 + 1x) Combine like terms: 7 + -3 = 4 -56 + 7x = 4 + 1x Solving -56 + 7x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -56 + 7x + -1x = 4 + 1x + -1x Combine like terms: 7x + -1x = 6x -56 + 6x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 -56 + 6x = 4 + 0 -56 + 6x = 4 Add '56' to each side of the equation. -56 + 56 + 6x = 4 + 56 Combine like terms: -56 + 56 = 0 0 + 6x = 4 + 56 6x = 4 + 56 Combine like terms: 4 + 56 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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