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Simplifying 6(3x + -6) = 3x + 24 Reorder the terms: 6(-6 + 3x) = 3x + 24 (-6 * 6 + 3x * 6) = 3x + 24 (-36 + 18x) = 3x + 24 Reorder the terms: -36 + 18x = 24 + 3x Solving -36 + 18x = 24 + 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. -36 + 18x + -3x = 24 + 3x + -3x Combine like terms: 18x + -3x = 15x -36 + 15x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 15x = 24 + 0 -36 + 15x = 24 Add '36' to each side of the equation. -36 + 36 + 15x = 24 + 36 Combine like terms: -36 + 36 = 0 0 + 15x = 24 + 36 15x = 24 + 36 Combine like terms: 24 + 36 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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