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Simplifying 11x + 18 = 12x + 13 Reorder the terms: 18 + 11x = 12x + 13 Reorder the terms: 18 + 11x = 13 + 12x Solving 18 + 11x = 13 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + 11x + -12x = 13 + 12x + -12x Combine like terms: 11x + -12x = -1x 18 + -1x = 13 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -1x = 13 + 0 18 + -1x = 13 Add '-18' to each side of the equation. 18 + -18 + -1x = 13 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 13 + -18 -1x = 13 + -18 Combine like terms: 13 + -18 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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