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Simplifying 3(x + -1) + -3x = 5 + -1(x + 7) Reorder the terms: 3(-1 + x) + -3x = 5 + -1(x + 7) (-1 * 3 + x * 3) + -3x = 5 + -1(x + 7) (-3 + 3x) + -3x = 5 + -1(x + 7) Combine like terms: 3x + -3x = 0 -3 + 0 = 5 + -1(x + 7) -3 = 5 + -1(x + 7) Reorder the terms: -3 = 5 + -1(7 + x) -3 = 5 + (7 * -1 + x * -1) -3 = 5 + (-7 + -1x) Combine like terms: 5 + -7 = -2 -3 = -2 + -1x Solving -3 = -2 + -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 + x = -2 + -1x + x Combine like terms: -1x + x = 0 -3 + x = -2 + 0 -3 + x = -2 Add '3' to each side of the equation. -3 + 3 + x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + x = -2 + 3 x = -2 + 3 Combine like terms: -2 + 3 = 1 x = 1 Simplifying x = 1
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