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Simplifying -2x + 14 = 5x + 21 Reorder the terms: 14 + -2x = 5x + 21 Reorder the terms: 14 + -2x = 21 + 5x Solving 14 + -2x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -2x + -5x = 21 + 5x + -5x Combine like terms: -2x + -5x = -7x 14 + -7x = 21 + 5x + -5x Combine like terms: 5x + -5x = 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 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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