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Simplifying -5x + 21 + 3x = 7x + -2x Reorder the terms: 21 + -5x + 3x = 7x + -2x Combine like terms: -5x + 3x = -2x 21 + -2x = 7x + -2x Combine like terms: 7x + -2x = 5x 21 + -2x = 5x Solving 21 + -2x = 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 = 5x + -5x Combine like terms: -2x + -5x = -7x 21 + -7x = 5x + -5x Combine like terms: 5x + -5x = 0 21 + -7x = 0 Add '-21' to each side of the equation. 21 + -21 + -7x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 0 + -21 -7x = 0 + -21 Combine like terms: 0 + -21 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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