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Simplifying 3(2x + -8) = 2(x + 10) Reorder the terms: 3(-8 + 2x) = 2(x + 10) (-8 * 3 + 2x * 3) = 2(x + 10) (-24 + 6x) = 2(x + 10) Reorder the terms: -24 + 6x = 2(10 + x) -24 + 6x = (10 * 2 + x * 2) -24 + 6x = (20 + 2x) Solving -24 + 6x = 20 + 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. -24 + 6x + -2x = 20 + 2x + -2x Combine like terms: 6x + -2x = 4x -24 + 4x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 4x = 20 + 0 -24 + 4x = 20 Add '24' to each side of the equation. -24 + 24 + 4x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 20 + 24 4x = 20 + 24 Combine like terms: 20 + 24 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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