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Simplifying 6(3x + -8) = 9x + 2 Reorder the terms: 6(-8 + 3x) = 9x + 2 (-8 * 6 + 3x * 6) = 9x + 2 (-48 + 18x) = 9x + 2 Reorder the terms: -48 + 18x = 2 + 9x Solving -48 + 18x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -48 + 18x + -9x = 2 + 9x + -9x Combine like terms: 18x + -9x = 9x -48 + 9x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -48 + 9x = 2 + 0 -48 + 9x = 2 Add '48' to each side of the equation. -48 + 48 + 9x = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 9x = 2 + 48 9x = 2 + 48 Combine like terms: 2 + 48 = 50 9x = 50 Divide each side by '9'. x = 5.555555556 Simplifying x = 5.555555556
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