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Simplifying 6x + 107 = 14x + -13 Reorder the terms: 107 + 6x = 14x + -13 Reorder the terms: 107 + 6x = -13 + 14x Solving 107 + 6x = -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. 107 + 6x + -14x = -13 + 14x + -14x Combine like terms: 6x + -14x = -8x 107 + -8x = -13 + 14x + -14x Combine like terms: 14x + -14x = 0 107 + -8x = -13 + 0 107 + -8x = -13 Add '-107' to each side of the equation. 107 + -107 + -8x = -13 + -107 Combine like terms: 107 + -107 = 0 0 + -8x = -13 + -107 -8x = -13 + -107 Combine like terms: -13 + -107 = -120 -8x = -120 Divide each side by '-8'. x = 15 Simplifying x = 15
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