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Simplifying 4x + 21 = 2x + 35 Reorder the terms: 21 + 4x = 2x + 35 Reorder the terms: 21 + 4x = 35 + 2x Solving 21 + 4x = 35 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 4x + -2x = 35 + 2x + -2x Combine like terms: 4x + -2x = 2x 21 + 2x = 35 + 2x + -2x Combine like terms: 2x + -2x = 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 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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