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Simplifying 13x + 18 = 65 + 10x Reorder the terms: 18 + 13x = 65 + 10x Solving 18 + 13x = 65 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 18 + 13x + -10x = 65 + 10x + -10x Combine like terms: 13x + -10x = 3x 18 + 3x = 65 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + 3x = 65 + 0 18 + 3x = 65 Add '-18' to each side of the equation. 18 + -18 + 3x = 65 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 65 + -18 3x = 65 + -18 Combine like terms: 65 + -18 = 47 3x = 47 Divide each side by '3'. x = 15.66666667 Simplifying x = 15.66666667
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