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Simplifying 3x + 21 = 5x + -35 Reorder the terms: 21 + 3x = 5x + -35 Reorder the terms: 21 + 3x = -35 + 5x Solving 21 + 3x = -35 + 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 + 3x + -5x = -35 + 5x + -5x Combine like terms: 3x + -5x = -2x 21 + -2x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -2x = -35 + 0 21 + -2x = -35 Add '-21' to each side of the equation. 21 + -21 + -2x = -35 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -35 + -21 -2x = -35 + -21 Combine like terms: -35 + -21 = -56 -2x = -56 Divide each side by '-2'. x = 28 Simplifying x = 28
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