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Simplifying 6(2x + -5) = 3x + 8 Reorder the terms: 6(-5 + 2x) = 3x + 8 (-5 * 6 + 2x * 6) = 3x + 8 (-30 + 12x) = 3x + 8 Reorder the terms: -30 + 12x = 8 + 3x Solving -30 + 12x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 12x + -3x = 8 + 3x + -3x Combine like terms: 12x + -3x = 9x -30 + 9x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 9x = 8 + 0 -30 + 9x = 8 Add '30' to each side of the equation. -30 + 30 + 9x = 8 + 30 Combine like terms: -30 + 30 = 0 0 + 9x = 8 + 30 9x = 8 + 30 Combine like terms: 8 + 30 = 38 9x = 38 Divide each side by '9'. x = 4.222222222 Simplifying x = 4.222222222
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