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Simplifying 5x + 12 = -13x + 17 Reorder the terms: 12 + 5x = -13x + 17 Reorder the terms: 12 + 5x = 17 + -13x Solving 12 + 5x = 17 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 12 + 5x + 13x = 17 + -13x + 13x Combine like terms: 5x + 13x = 18x 12 + 18x = 17 + -13x + 13x Combine like terms: -13x + 13x = 0 12 + 18x = 17 + 0 12 + 18x = 17 Add '-12' to each side of the equation. 12 + -12 + 18x = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = 17 + -12 18x = 17 + -12 Combine like terms: 17 + -12 = 5 18x = 5 Divide each side by '18'. x = 0.2777777778 Simplifying x = 0.2777777778
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