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Simplifying -2x + 21 = 5x + 14 Reorder the terms: 21 + -2x = 5x + 14 Reorder the terms: 21 + -2x = 14 + 5x Solving 21 + -2x = 14 + 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. 21 + -2x + -5x = 14 + 5x + -5x Combine like terms: -2x + -5x = -7x 21 + -7x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -7x = 14 + 0 21 + -7x = 14 Add '-21' to each side of the equation. 21 + -21 + -7x = 14 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 14 + -21 -7x = 14 + -21 Combine like terms: 14 + -21 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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