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Simplifying 8x + 9 + -12x = 4x + -13 + -5x + 35 Reorder the terms: 9 + 8x + -12x = 4x + -13 + -5x + 35 Combine like terms: 8x + -12x = -4x 9 + -4x = 4x + -13 + -5x + 35 Reorder the terms: 9 + -4x = -13 + 35 + 4x + -5x Combine like terms: -13 + 35 = 22 9 + -4x = 22 + 4x + -5x Combine like terms: 4x + -5x = -1x 9 + -4x = 22 + -1x Solving 9 + -4x = 22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + -4x + x = 22 + -1x + x Combine like terms: -4x + x = -3x 9 + -3x = 22 + -1x + x Combine like terms: -1x + x = 0 9 + -3x = 22 + 0 9 + -3x = 22 Add '-9' to each side of the equation. 9 + -9 + -3x = 22 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 22 + -9 -3x = 22 + -9 Combine like terms: 22 + -9 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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