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Simplifying 3(y + -8) + 3(6x + 2) = 24 + 3y Reorder the terms: 3(-8 + y) + 3(6x + 2) = 24 + 3y (-8 * 3 + y * 3) + 3(6x + 2) = 24 + 3y (-24 + 3y) + 3(6x + 2) = 24 + 3y Reorder the terms: -24 + 3y + 3(2 + 6x) = 24 + 3y -24 + 3y + (2 * 3 + 6x * 3) = 24 + 3y -24 + 3y + (6 + 18x) = 24 + 3y Reorder the terms: -24 + 6 + 18x + 3y = 24 + 3y Combine like terms: -24 + 6 = -18 -18 + 18x + 3y = 24 + 3y Add '-3y' to each side of the equation. -18 + 18x + 3y + -3y = 24 + 3y + -3y Combine like terms: 3y + -3y = 0 -18 + 18x + 0 = 24 + 3y + -3y -18 + 18x = 24 + 3y + -3y Combine like terms: 3y + -3y = 0 -18 + 18x = 24 + 0 -18 + 18x = 24 Solving -18 + 18x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 18x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 18x = 24 + 18 18x = 24 + 18 Combine like terms: 24 + 18 = 42 18x = 42 Divide each side by '18'. x = 2.333333333 Simplifying x = 2.333333333
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