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Simplifying 3(2x + 6) = 2x + 30 Reorder the terms: 3(6 + 2x) = 2x + 30 (6 * 3 + 2x * 3) = 2x + 30 (18 + 6x) = 2x + 30 Reorder the terms: 18 + 6x = 30 + 2x Solving 18 + 6x = 30 + 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. 18 + 6x + -2x = 30 + 2x + -2x Combine like terms: 6x + -2x = 4x 18 + 4x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 4x = 30 + 0 18 + 4x = 30 Add '-18' to each side of the equation. 18 + -18 + 4x = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 30 + -18 4x = 30 + -18 Combine like terms: 30 + -18 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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