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Simplifying 8x + 9 + -12x = 4x + -13 + -5x + 4 Reorder the terms: 9 + 8x + -12x = 4x + -13 + -5x + 4 Combine like terms: 8x + -12x = -4x 9 + -4x = 4x + -13 + -5x + 4 Reorder the terms: 9 + -4x = -13 + 4 + 4x + -5x Combine like terms: -13 + 4 = -9 9 + -4x = -9 + 4x + -5x Combine like terms: 4x + -5x = -1x 9 + -4x = -9 + -1x Solving 9 + -4x = -9 + -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 = -9 + -1x + x Combine like terms: -4x + x = -3x 9 + -3x = -9 + -1x + x Combine like terms: -1x + x = 0 9 + -3x = -9 + 0 9 + -3x = -9 Add '-9' to each side of the equation. 9 + -9 + -3x = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -9 + -9 -3x = -9 + -9 Combine like terms: -9 + -9 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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