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Simplifying 3x + 9 + -2x = 4x + 12 Reorder the terms: 9 + 3x + -2x = 4x + 12 Combine like terms: 3x + -2x = 1x 9 + 1x = 4x + 12 Reorder the terms: 9 + 1x = 12 + 4x Solving 9 + 1x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 1x + -4x = 12 + 4x + -4x Combine like terms: 1x + -4x = -3x 9 + -3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -3x = 12 + 0 9 + -3x = 12 Add '-9' to each side of the equation. 9 + -9 + -3x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 12 + -9 -3x = 12 + -9 Combine like terms: 12 + -9 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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