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Simplifying 3(x + -8) = 2(x + 10) Reorder the terms: 3(-8 + x) = 2(x + 10) (-8 * 3 + x * 3) = 2(x + 10) (-24 + 3x) = 2(x + 10) Reorder the terms: -24 + 3x = 2(10 + x) -24 + 3x = (10 * 2 + x * 2) -24 + 3x = (20 + 2x) Solving -24 + 3x = 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 + 3x + -2x = 20 + 2x + -2x Combine like terms: 3x + -2x = 1x -24 + 1x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 1x = 20 + 0 -24 + 1x = 20 Add '24' to each side of the equation. -24 + 24 + 1x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = 20 + 24 1x = 20 + 24 Combine like terms: 20 + 24 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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