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Simplifying 5x + 14 = -21 + -2x Reorder the terms: 14 + 5x = -21 + -2x Solving 14 + 5x = -21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14 + 5x + 2x = -21 + -2x + 2x Combine like terms: 5x + 2x = 7x 14 + 7x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 7x = -21 + 0 14 + 7x = -21 Add '-14' to each side of the equation. 14 + -14 + 7x = -21 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = -21 + -14 7x = -21 + -14 Combine like terms: -21 + -14 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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