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Simplifying 12 + -9x + 4 = 3x + -1 + 5x Reorder the terms: 12 + 4 + -9x = 3x + -1 + 5x Combine like terms: 12 + 4 = 16 16 + -9x = 3x + -1 + 5x Reorder the terms: 16 + -9x = -1 + 3x + 5x Combine like terms: 3x + 5x = 8x 16 + -9x = -1 + 8x Solving 16 + -9x = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 16 + -9x + -8x = -1 + 8x + -8x Combine like terms: -9x + -8x = -17x 16 + -17x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + -17x = -1 + 0 16 + -17x = -1 Add '-16' to each side of the equation. 16 + -16 + -17x = -1 + -16 Combine like terms: 16 + -16 = 0 0 + -17x = -1 + -16 -17x = -1 + -16 Combine like terms: -1 + -16 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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