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Simplifying 13x + 6 = 14x + -7 Reorder the terms: 6 + 13x = 14x + -7 Reorder the terms: 6 + 13x = -7 + 14x Solving 6 + 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. 6 + 13x + -14x = -7 + 14x + -14x Combine like terms: 13x + -14x = -1x 6 + -1x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -1x = -7 + 0 6 + -1x = -7 Add '-6' to each side of the equation. 6 + -6 + -1x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -7 + -6 -1x = -7 + -6 Combine like terms: -7 + -6 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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