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Simplifying (8 + 2x) * 3 = 10 + 4x Reorder the terms for easier multiplication: 3(8 + 2x) = 10 + 4x (8 * 3 + 2x * 3) = 10 + 4x (24 + 6x) = 10 + 4x Solving 24 + 6x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 6x + -4x = 10 + 4x + -4x Combine like terms: 6x + -4x = 2x 24 + 2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 2x = 10 + 0 24 + 2x = 10 Add '-24' to each side of the equation. 24 + -24 + 2x = 10 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 10 + -24 2x = 10 + -24 Combine like terms: 10 + -24 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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