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Simplifying 5x + 21 = 10x + -14 Reorder the terms: 21 + 5x = 10x + -14 Reorder the terms: 21 + 5x = -14 + 10x Solving 21 + 5x = -14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 5x + -10x = -14 + 10x + -10x Combine like terms: 5x + -10x = -5x 21 + -5x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -5x = -14 + 0 21 + -5x = -14 Add '-21' to each side of the equation. 21 + -21 + -5x = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = -14 + -21 -5x = -14 + -21 Combine like terms: -14 + -21 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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