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Simplifying 13x + 5 = 14x + -7 Reorder the terms: 5 + 13x = 14x + -7 Reorder the terms: 5 + 13x = -7 + 14x Solving 5 + 13x = -7 + 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. 5 + 13x + -14x = -7 + 14x + -14x Combine like terms: 13x + -14x = -1x 5 + -1x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 5 + -1x = -7 + 0 5 + -1x = -7 Add '-5' to each side of the equation. 5 + -5 + -1x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -7 + -5 -1x = -7 + -5 Combine like terms: -7 + -5 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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