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Simplifying 101 + -3x = 5x + 13 Reorder the terms: 101 + -3x = 13 + 5x Solving 101 + -3x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 101 + -3x + -5x = 13 + 5x + -5x Combine like terms: -3x + -5x = -8x 101 + -8x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 101 + -8x = 13 + 0 101 + -8x = 13 Add '-101' to each side of the equation. 101 + -101 + -8x = 13 + -101 Combine like terms: 101 + -101 = 0 0 + -8x = 13 + -101 -8x = 13 + -101 Combine like terms: 13 + -101 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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