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Simplifying 3(2x + -8) = 4x + 10 Reorder the terms: 3(-8 + 2x) = 4x + 10 (-8 * 3 + 2x * 3) = 4x + 10 (-24 + 6x) = 4x + 10 Reorder the terms: -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 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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