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Simplifying 3(2x + -8) = x + 1 Reorder the terms: 3(-8 + 2x) = x + 1 (-8 * 3 + 2x * 3) = x + 1 (-24 + 6x) = x + 1 Reorder the terms: -24 + 6x = 1 + x Solving -24 + 6x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -24 + 6x + -1x = 1 + x + -1x Combine like terms: 6x + -1x = 5x -24 + 5x = 1 + x + -1x Combine like terms: x + -1x = 0 -24 + 5x = 1 + 0 -24 + 5x = 1 Add '24' to each side of the equation. -24 + 24 + 5x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 1 + 24 5x = 1 + 24 Combine like terms: 1 + 24 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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