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Simplifying 3(x + -1) + 2 = x + 9 Reorder the terms: 3(-1 + x) + 2 = x + 9 (-1 * 3 + x * 3) + 2 = x + 9 (-3 + 3x) + 2 = x + 9 Reorder the terms: -3 + 2 + 3x = x + 9 Combine like terms: -3 + 2 = -1 -1 + 3x = x + 9 Reorder the terms: -1 + 3x = 9 + x Solving -1 + 3x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 3x + -1x = 9 + x + -1x Combine like terms: 3x + -1x = 2x -1 + 2x = 9 + x + -1x Combine like terms: x + -1x = 0 -1 + 2x = 9 + 0 -1 + 2x = 9 Add '1' to each side of the equation. -1 + 1 + 2x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 9 + 1 2x = 9 + 1 Combine like terms: 9 + 1 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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