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Simplifying -3(x + -3) + (x + 12) = (x + 2) + -2 Reorder the terms: -3(-3 + x) + (x + 12) = (x + 2) + -2 (-3 * -3 + x * -3) + (x + 12) = (x + 2) + -2 (9 + -3x) + (x + 12) = (x + 2) + -2 Reorder the terms: 9 + -3x + (12 + x) = (x + 2) + -2 Remove parenthesis around (12 + x) 9 + -3x + 12 + x = (x + 2) + -2 Reorder the terms: 9 + 12 + -3x + x = (x + 2) + -2 Combine like terms: 9 + 12 = 21 21 + -3x + x = (x + 2) + -2 Combine like terms: -3x + x = -2x 21 + -2x = (x + 2) + -2 Reorder the terms: 21 + -2x = (2 + x) + -2 Remove parenthesis around (2 + x) 21 + -2x = 2 + x + -2 Reorder the terms: 21 + -2x = 2 + -2 + x Combine like terms: 2 + -2 = 0 21 + -2x = 0 + x 21 + -2x = x Solving 21 + -2x = 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. 21 + -2x + -1x = x + -1x Combine like terms: -2x + -1x = -3x 21 + -3x = x + -1x Combine like terms: x + -1x = 0 21 + -3x = 0 Add '-21' to each side of the equation. 21 + -21 + -3x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 0 + -21 -3x = 0 + -21 Combine like terms: 0 + -21 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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