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Simplifying -3(x + -8) = 38 + -5x Reorder the terms: -3(-8 + x) = 38 + -5x (-8 * -3 + x * -3) = 38 + -5x (24 + -3x) = 38 + -5x Solving 24 + -3x = 38 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 24 + -3x + 5x = 38 + -5x + 5x Combine like terms: -3x + 5x = 2x 24 + 2x = 38 + -5x + 5x Combine like terms: -5x + 5x = 0 24 + 2x = 38 + 0 24 + 2x = 38 Add '-24' to each side of the equation. 24 + -24 + 2x = 38 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 38 + -24 2x = 38 + -24 Combine like terms: 38 + -24 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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