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Simplifying 3(x + -1) = 5 + 7x Reorder the terms: 3(-1 + x) = 5 + 7x (-1 * 3 + x * 3) = 5 + 7x (-3 + 3x) = 5 + 7x Solving -3 + 3x = 5 + 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 = 5 + 7x + -7x Combine like terms: 3x + -7x = -4x -3 + -4x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -4x = 5 + 0 -3 + -4x = 5 Add '3' to each side of the equation. -3 + 3 + -4x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 5 + 3 -4x = 5 + 3 Combine like terms: 5 + 3 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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