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Simplifying 6(3x + -12) = 24x + 8 Reorder the terms: 6(-12 + 3x) = 24x + 8 (-12 * 6 + 3x * 6) = 24x + 8 (-72 + 18x) = 24x + 8 Reorder the terms: -72 + 18x = 8 + 24x Solving -72 + 18x = 8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -72 + 18x + -24x = 8 + 24x + -24x Combine like terms: 18x + -24x = -6x -72 + -6x = 8 + 24x + -24x Combine like terms: 24x + -24x = 0 -72 + -6x = 8 + 0 -72 + -6x = 8 Add '72' to each side of the equation. -72 + 72 + -6x = 8 + 72 Combine like terms: -72 + 72 = 0 0 + -6x = 8 + 72 -6x = 8 + 72 Combine like terms: 8 + 72 = 80 -6x = 80 Divide each side by '-6'. x = -13.33333333 Simplifying x = -13.33333333
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