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Simplifying 5x + 12 + -13x = 12 + -2x + -14 Reorder the terms: 12 + 5x + -13x = 12 + -2x + -14 Combine like terms: 5x + -13x = -8x 12 + -8x = 12 + -2x + -14 Reorder the terms: 12 + -8x = 12 + -14 + -2x Combine like terms: 12 + -14 = -2 12 + -8x = -2 + -2x Solving 12 + -8x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + -8x + 2x = -2 + -2x + 2x Combine like terms: -8x + 2x = -6x 12 + -6x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -6x = -2 + 0 12 + -6x = -2 Add '-12' to each side of the equation. 12 + -12 + -6x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -2 + -12 -6x = -2 + -12 Combine like terms: -2 + -12 = -14 -6x = -14 Divide each side by '-6'. x = 2.333333333 Simplifying x = 2.333333333
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