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Simplifying 6(3x + 18) * 4 = 6(3x + -12) Reorder the terms: 6(18 + 3x) * 4 = 6(3x + -12) Reorder the terms for easier multiplication: 6 * 4(18 + 3x) = 6(3x + -12) Multiply 6 * 4 24(18 + 3x) = 6(3x + -12) (18 * 24 + 3x * 24) = 6(3x + -12) (432 + 72x) = 6(3x + -12) Reorder the terms: 432 + 72x = 6(-12 + 3x) 432 + 72x = (-12 * 6 + 3x * 6) 432 + 72x = (-72 + 18x) Solving 432 + 72x = -72 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 432 + 72x + -18x = -72 + 18x + -18x Combine like terms: 72x + -18x = 54x 432 + 54x = -72 + 18x + -18x Combine like terms: 18x + -18x = 0 432 + 54x = -72 + 0 432 + 54x = -72 Add '-432' to each side of the equation. 432 + -432 + 54x = -72 + -432 Combine like terms: 432 + -432 = 0 0 + 54x = -72 + -432 54x = -72 + -432 Combine like terms: -72 + -432 = -504 54x = -504 Divide each side by '54'. x = -9.333333333 Simplifying x = -9.333333333
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