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Simplifying 3x + -5x + 9 = 29 + -4x + -12 Reorder the terms: 9 + 3x + -5x = 29 + -4x + -12 Combine like terms: 3x + -5x = -2x 9 + -2x = 29 + -4x + -12 Reorder the terms: 9 + -2x = 29 + -12 + -4x Combine like terms: 29 + -12 = 17 9 + -2x = 17 + -4x Solving 9 + -2x = 17 + -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 + -2x + 4x = 17 + -4x + 4x Combine like terms: -2x + 4x = 2x 9 + 2x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 2x = 17 + 0 9 + 2x = 17 Add '-9' to each side of the equation. 9 + -9 + 2x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 17 + -9 2x = 17 + -9 Combine like terms: 17 + -9 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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