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Simplifying 3x = 40 + -1(5x + 24) Reorder the terms: 3x = 40 + -1(24 + 5x) 3x = 40 + (24 * -1 + 5x * -1) 3x = 40 + (-24 + -5x) Combine like terms: 40 + -24 = 16 3x = 16 + -5x Solving 3x = 16 + -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. 3x + 5x = 16 + -5x + 5x Combine like terms: 3x + 5x = 8x 8x = 16 + -5x + 5x Combine like terms: -5x + 5x = 0 8x = 16 + 0 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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