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Simplifying 13x + 17 = 15x + 14 Reorder the terms: 17 + 13x = 15x + 14 Reorder the terms: 17 + 13x = 14 + 15x Solving 17 + 13x = 14 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 17 + 13x + -15x = 14 + 15x + -15x Combine like terms: 13x + -15x = -2x 17 + -2x = 14 + 15x + -15x Combine like terms: 15x + -15x = 0 17 + -2x = 14 + 0 17 + -2x = 14 Add '-17' to each side of the equation. 17 + -17 + -2x = 14 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 14 + -17 -2x = 14 + -17 Combine like terms: 14 + -17 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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