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Simplifying -1x + 33 = 2x + 12 Reorder the terms: 33 + -1x = 2x + 12 Reorder the terms: 33 + -1x = 12 + 2x Solving 33 + -1x = 12 + 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. 33 + -1x + -2x = 12 + 2x + -2x Combine like terms: -1x + -2x = -3x 33 + -3x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 33 + -3x = 12 + 0 33 + -3x = 12 Add '-33' to each side of the equation. 33 + -33 + -3x = 12 + -33 Combine like terms: 33 + -33 = 0 0 + -3x = 12 + -33 -3x = 12 + -33 Combine like terms: 12 + -33 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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