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Simplifying 3x + 5 + 7x + -12 = 8x + -2 + 9x + 1 Reorder the terms: 5 + -12 + 3x + 7x = 8x + -2 + 9x + 1 Combine like terms: 5 + -12 = -7 -7 + 3x + 7x = 8x + -2 + 9x + 1 Combine like terms: 3x + 7x = 10x -7 + 10x = 8x + -2 + 9x + 1 Reorder the terms: -7 + 10x = -2 + 1 + 8x + 9x Combine like terms: -2 + 1 = -1 -7 + 10x = -1 + 8x + 9x Combine like terms: 8x + 9x = 17x -7 + 10x = -1 + 17x Solving -7 + 10x = -1 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -7 + 10x + -17x = -1 + 17x + -17x Combine like terms: 10x + -17x = -7x -7 + -7x = -1 + 17x + -17x Combine like terms: 17x + -17x = 0 -7 + -7x = -1 + 0 -7 + -7x = -1 Add '7' to each side of the equation. -7 + 7 + -7x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = -1 + 7 -7x = -1 + 7 Combine like terms: -1 + 7 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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