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Simplifying 13x + 18 + -7 = 12x + 4 + 2x Reorder the terms: 18 + -7 + 13x = 12x + 4 + 2x Combine like terms: 18 + -7 = 11 11 + 13x = 12x + 4 + 2x Reorder the terms: 11 + 13x = 4 + 12x + 2x Combine like terms: 12x + 2x = 14x 11 + 13x = 4 + 14x Solving 11 + 13x = 4 + 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. 11 + 13x + -14x = 4 + 14x + -14x Combine like terms: 13x + -14x = -1x 11 + -1x = 4 + 14x + -14x Combine like terms: 14x + -14x = 0 11 + -1x = 4 + 0 11 + -1x = 4 Add '-11' to each side of the equation. 11 + -11 + -1x = 4 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 4 + -11 -1x = 4 + -11 Combine like terms: 4 + -11 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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