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Simplifying 3x + 1 + -5x = 9x + 12 + -8x Reorder the terms: 1 + 3x + -5x = 9x + 12 + -8x Combine like terms: 3x + -5x = -2x 1 + -2x = 9x + 12 + -8x Reorder the terms: 1 + -2x = 12 + 9x + -8x Combine like terms: 9x + -8x = 1x 1 + -2x = 12 + 1x Solving 1 + -2x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + -2x + -1x = 12 + 1x + -1x Combine like terms: -2x + -1x = -3x 1 + -3x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + -3x = 12 + 0 1 + -3x = 12 Add '-1' to each side of the equation. 1 + -1 + -3x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 12 + -1 -3x = 12 + -1 Combine like terms: 12 + -1 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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