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Simplifying 3(2x + 7) = 35 + 2x Reorder the terms: 3(7 + 2x) = 35 + 2x (7 * 3 + 2x * 3) = 35 + 2x (21 + 6x) = 35 + 2x Solving 21 + 6x = 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 + 6x + -2x = 35 + 2x + -2x Combine like terms: 6x + -2x = 4x 21 + 4x = 35 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 4x = 35 + 0 21 + 4x = 35 Add '-21' to each side of the equation. 21 + -21 + 4x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 35 + -21 4x = 35 + -21 Combine like terms: 35 + -21 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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