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Simplifying 4x + 14 = 9x + -21 Reorder the terms: 14 + 4x = 9x + -21 Reorder the terms: 14 + 4x = -21 + 9x Solving 14 + 4x = -21 + 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. 14 + 4x + -9x = -21 + 9x + -9x Combine like terms: 4x + -9x = -5x 14 + -5x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -5x = -21 + 0 14 + -5x = -21 Add '-14' to each side of the equation. 14 + -14 + -5x = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = -21 + -14 -5x = -21 + -14 Combine like terms: -21 + -14 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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