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Simplifying 5x + 106 = 13x + -14 Reorder the terms: 106 + 5x = 13x + -14 Reorder the terms: 106 + 5x = -14 + 13x Solving 106 + 5x = -14 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 106 + 5x + -13x = -14 + 13x + -13x Combine like terms: 5x + -13x = -8x 106 + -8x = -14 + 13x + -13x Combine like terms: 13x + -13x = 0 106 + -8x = -14 + 0 106 + -8x = -14 Add '-106' to each side of the equation. 106 + -106 + -8x = -14 + -106 Combine like terms: 106 + -106 = 0 0 + -8x = -14 + -106 -8x = -14 + -106 Combine like terms: -14 + -106 = -120 -8x = -120 Divide each side by '-8'. x = 15 Simplifying x = 15
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