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Simplifying 13x + 10 = 15x + 5 Reorder the terms: 10 + 13x = 15x + 5 Reorder the terms: 10 + 13x = 5 + 15x Solving 10 + 13x = 5 + 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. 10 + 13x + -15x = 5 + 15x + -15x Combine like terms: 13x + -15x = -2x 10 + -2x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -2x = 5 + 0 10 + -2x = 5 Add '-10' to each side of the equation. 10 + -10 + -2x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 5 + -10 -2x = 5 + -10 Combine like terms: 5 + -10 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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