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Simplifying 3(5x + -12) = 6x + 24 Reorder the terms: 3(-12 + 5x) = 6x + 24 (-12 * 3 + 5x * 3) = 6x + 24 (-36 + 15x) = 6x + 24 Reorder the terms: -36 + 15x = 24 + 6x Solving -36 + 15x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + 15x + -6x = 24 + 6x + -6x Combine like terms: 15x + -6x = 9x -36 + 9x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 9x = 24 + 0 -36 + 9x = 24 Add '36' to each side of the equation. -36 + 36 + 9x = 24 + 36 Combine like terms: -36 + 36 = 0 0 + 9x = 24 + 36 9x = 24 + 36 Combine like terms: 24 + 36 = 60 9x = 60 Divide each side by '9'. x = 6.666666667 Simplifying x = 6.666666667
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