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Simplifying 6x + 3(2x + -8) = 31 + x Reorder the terms: 6x + 3(-8 + 2x) = 31 + x 6x + (-8 * 3 + 2x * 3) = 31 + x 6x + (-24 + 6x) = 31 + x Reorder the terms: -24 + 6x + 6x = 31 + x Combine like terms: 6x + 6x = 12x -24 + 12x = 31 + x Solving -24 + 12x = 31 + 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 + 12x + -1x = 31 + x + -1x Combine like terms: 12x + -1x = 11x -24 + 11x = 31 + x + -1x Combine like terms: x + -1x = 0 -24 + 11x = 31 + 0 -24 + 11x = 31 Add '24' to each side of the equation. -24 + 24 + 11x = 31 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = 31 + 24 11x = 31 + 24 Combine like terms: 31 + 24 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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