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Simplifying 3(x + -1) + -1(6 + -2x) = 2x Reorder the terms: 3(-1 + x) + -1(6 + -2x) = 2x (-1 * 3 + x * 3) + -1(6 + -2x) = 2x (-3 + 3x) + -1(6 + -2x) = 2x -3 + 3x + (6 * -1 + -2x * -1) = 2x -3 + 3x + (-6 + 2x) = 2x Reorder the terms: -3 + -6 + 3x + 2x = 2x Combine like terms: -3 + -6 = -9 -9 + 3x + 2x = 2x Combine like terms: 3x + 2x = 5x -9 + 5x = 2x Solving -9 + 5x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 5x + -2x = 2x + -2x Combine like terms: 5x + -2x = 3x -9 + 3x = 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 3x = 0 Add '9' to each side of the equation. -9 + 9 + 3x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 0 + 9 3x = 0 + 9 Combine like terms: 0 + 9 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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