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