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Simplifying 4x + 101 = 9x + -14 Reorder the terms: 101 + 4x = 9x + -14 Reorder the terms: 101 + 4x = -14 + 9x Solving 101 + 4x = -14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 101 + 4x + -9x = -14 + 9x + -9x Combine like terms: 4x + -9x = -5x 101 + -5x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 101 + -5x = -14 + 0 101 + -5x = -14 Add '-101' to each side of the equation. 101 + -101 + -5x = -14 + -101 Combine like terms: 101 + -101 = 0 0 + -5x = -14 + -101 -5x = -14 + -101 Combine like terms: -14 + -101 = -115 -5x = -115 Divide each side by '-5'. x = 23 Simplifying x = 23
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