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Simplifying 3(x + -8) = 2(5 + -3x) Reorder the terms: 3(-8 + x) = 2(5 + -3x) (-8 * 3 + x * 3) = 2(5 + -3x) (-24 + 3x) = 2(5 + -3x) -24 + 3x = (5 * 2 + -3x * 2) -24 + 3x = (10 + -6x) Solving -24 + 3x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -24 + 3x + 6x = 10 + -6x + 6x Combine like terms: 3x + 6x = 9x -24 + 9x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -24 + 9x = 10 + 0 -24 + 9x = 10 Add '24' to each side of the equation. -24 + 24 + 9x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 10 + 24 9x = 10 + 24 Combine like terms: 10 + 24 = 34 9x = 34 Divide each side by '9'. x = 3.777777778 Simplifying x = 3.777777778
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