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Simplifying 5x + 9 + -12x = 4x + -13 + -5x Reorder the terms: 9 + 5x + -12x = 4x + -13 + -5x Combine like terms: 5x + -12x = -7x 9 + -7x = 4x + -13 + -5x Reorder the terms: 9 + -7x = -13 + 4x + -5x Combine like terms: 4x + -5x = -1x 9 + -7x = -13 + -1x Solving 9 + -7x = -13 + -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 + -7x + x = -13 + -1x + x Combine like terms: -7x + x = -6x 9 + -6x = -13 + -1x + x Combine like terms: -1x + x = 0 9 + -6x = -13 + 0 9 + -6x = -13 Add '-9' to each side of the equation. 9 + -9 + -6x = -13 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -13 + -9 -6x = -13 + -9 Combine like terms: -13 + -9 = -22 -6x = -22 Divide each side by '-6'. x = 3.666666667 Simplifying x = 3.666666667
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