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Simplifying 5x + 101 = 9x + -7 Reorder the terms: 101 + 5x = 9x + -7 Reorder the terms: 101 + 5x = -7 + 9x Solving 101 + 5x = -7 + 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 + 5x + -9x = -7 + 9x + -9x Combine like terms: 5x + -9x = -4x 101 + -4x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 101 + -4x = -7 + 0 101 + -4x = -7 Add '-101' to each side of the equation. 101 + -101 + -4x = -7 + -101 Combine like terms: 101 + -101 = 0 0 + -4x = -7 + -101 -4x = -7 + -101 Combine like terms: -7 + -101 = -108 -4x = -108 Divide each side by '-4'. x = 27 Simplifying x = 27
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