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