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Simplifying 3(x + -1) = 7x + -9 + -1x Reorder the terms: 3(-1 + x) = 7x + -9 + -1x (-1 * 3 + x * 3) = 7x + -9 + -1x (-3 + 3x) = 7x + -9 + -1x Reorder the terms: -3 + 3x = -9 + 7x + -1x Combine like terms: 7x + -1x = 6x -3 + 3x = -9 + 6x Solving -3 + 3x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 3x + -6x = -9 + 6x + -6x Combine like terms: 3x + -6x = -3x -3 + -3x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -3x = -9 + 0 -3 + -3x = -9 Add '3' to each side of the equation. -3 + 3 + -3x = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -9 + 3 -3x = -9 + 3 Combine like terms: -9 + 3 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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