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Simplifying 3(y + -8) + (6x + 2) = 24 + 3y Reorder the terms: 3(-8 + y) + (6x + 2) = 24 + 3y (-8 * 3 + y * 3) + (6x + 2) = 24 + 3y (-24 + 3y) + (6x + 2) = 24 + 3y Reorder the terms: -24 + 3y + (2 + 6x) = 24 + 3y Remove parenthesis around (2 + 6x) -24 + 3y + 2 + 6x = 24 + 3y Reorder the terms: -24 + 2 + 6x + 3y = 24 + 3y Combine like terms: -24 + 2 = -22 -22 + 6x + 3y = 24 + 3y Add '-3y' to each side of the equation. -22 + 6x + 3y + -3y = 24 + 3y + -3y Combine like terms: 3y + -3y = 0 -22 + 6x + 0 = 24 + 3y + -3y -22 + 6x = 24 + 3y + -3y Combine like terms: 3y + -3y = 0 -22 + 6x = 24 + 0 -22 + 6x = 24 Solving -22 + 6x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6x = 24 + 22 Combine like terms: -22 + 22 = 0 0 + 6x = 24 + 22 6x = 24 + 22 Combine like terms: 24 + 22 = 46 6x = 46 Divide each side by '6'. x = 7.666666667 Simplifying x = 7.666666667
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