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Simplifying 3(x + 8) = 38 + -4x Reorder the terms: 3(8 + x) = 38 + -4x (8 * 3 + x * 3) = 38 + -4x (24 + 3x) = 38 + -4x Solving 24 + 3x = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + 3x + 4x = 38 + -4x + 4x Combine like terms: 3x + 4x = 7x 24 + 7x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 7x = 38 + 0 24 + 7x = 38 Add '-24' to each side of the equation. 24 + -24 + 7x = 38 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = 38 + -24 7x = 38 + -24 Combine like terms: 38 + -24 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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