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Simplifying 3x + 9 + -1x = 12 + -2x + 1 Reorder the terms: 9 + 3x + -1x = 12 + -2x + 1 Combine like terms: 3x + -1x = 2x 9 + 2x = 12 + -2x + 1 Reorder the terms: 9 + 2x = 12 + 1 + -2x Combine like terms: 12 + 1 = 13 9 + 2x = 13 + -2x Solving 9 + 2x = 13 + -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 + 2x + 2x = 13 + -2x + 2x Combine like terms: 2x + 2x = 4x 9 + 4x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 4x = 13 + 0 9 + 4x = 13 Add '-9' to each side of the equation. 9 + -9 + 4x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 13 + -9 4x = 13 + -9 Combine like terms: 13 + -9 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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