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