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Simplifying 3(2x + -8) = 2(x + 9) Reorder the terms: 3(-8 + 2x) = 2(x + 9) (-8 * 3 + 2x * 3) = 2(x + 9) (-24 + 6x) = 2(x + 9) Reorder the terms: -24 + 6x = 2(9 + x) -24 + 6x = (9 * 2 + x * 2) -24 + 6x = (18 + 2x) Solving -24 + 6x = 18 + 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 = 18 + 2x + -2x Combine like terms: 6x + -2x = 4x -24 + 4x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 4x = 18 + 0 -24 + 4x = 18 Add '24' to each side of the equation. -24 + 24 + 4x = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 18 + 24 4x = 18 + 24 Combine like terms: 18 + 24 = 42 4x = 42 Divide each side by '4'. x = 10.5 Simplifying x = 10.5
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