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Simplifying 5x + 101 = 13x + -11 Reorder the terms: 101 + 5x = 13x + -11 Reorder the terms: 101 + 5x = -11 + 13x Solving 101 + 5x = -11 + 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. 101 + 5x + -13x = -11 + 13x + -13x Combine like terms: 5x + -13x = -8x 101 + -8x = -11 + 13x + -13x Combine like terms: 13x + -13x = 0 101 + -8x = -11 + 0 101 + -8x = -11 Add '-101' to each side of the equation. 101 + -101 + -8x = -11 + -101 Combine like terms: 101 + -101 = 0 0 + -8x = -11 + -101 -8x = -11 + -101 Combine like terms: -11 + -101 = -112 -8x = -112 Divide each side by '-8'. x = 14 Simplifying x = 14
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