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Simplifying 4x + 71 = 9x + -14 Reorder the terms: 71 + 4x = 9x + -14 Reorder the terms: 71 + 4x = -14 + 9x Solving 71 + 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. 71 + 4x + -9x = -14 + 9x + -9x Combine like terms: 4x + -9x = -5x 71 + -5x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 71 + -5x = -14 + 0 71 + -5x = -14 Add '-71' to each side of the equation. 71 + -71 + -5x = -14 + -71 Combine like terms: 71 + -71 = 0 0 + -5x = -14 + -71 -5x = -14 + -71 Combine like terms: -14 + -71 = -85 -5x = -85 Divide each side by '-5'. x = 17 Simplifying x = 17
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