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Simplifying 8x + 9 + -12x = 4x + -13 + -9 Reorder the terms: 9 + 8x + -12x = 4x + -13 + -9 Combine like terms: 8x + -12x = -4x 9 + -4x = 4x + -13 + -9 Reorder the terms: 9 + -4x = -13 + -9 + 4x Combine like terms: -13 + -9 = -22 9 + -4x = -22 + 4x Solving 9 + -4x = -22 + 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 + -4x + -4x = -22 + 4x + -4x Combine like terms: -4x + -4x = -8x 9 + -8x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -8x = -22 + 0 9 + -8x = -22 Add '-9' to each side of the equation. 9 + -9 + -8x = -22 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = -22 + -9 -8x = -22 + -9 Combine like terms: -22 + -9 = -31 -8x = -31 Divide each side by '-8'. x = 3.875 Simplifying x = 3.875
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