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Simplifying x + 18 + 12x = 14x + 13 Reorder the terms: 18 + x + 12x = 14x + 13 Combine like terms: x + 12x = 13x 18 + 13x = 14x + 13 Reorder the terms: 18 + 13x = 13 + 14x Solving 18 + 13x = 13 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 18 + 13x + -14x = 13 + 14x + -14x Combine like terms: 13x + -14x = -1x 18 + -1x = 13 + 14x + -14x Combine like terms: 14x + -14x = 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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