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Simplifying -3(x + 6) * 24 = 10 + -4x Reorder the terms: -3(6 + x) * 24 = 10 + -4x Reorder the terms for easier multiplication: -3 * 24(6 + x) = 10 + -4x Multiply -3 * 24 -72(6 + x) = 10 + -4x (6 * -72 + x * -72) = 10 + -4x (-432 + -72x) = 10 + -4x Solving -432 + -72x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -432 + -72x + 4x = 10 + -4x + 4x Combine like terms: -72x + 4x = -68x -432 + -68x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -432 + -68x = 10 + 0 -432 + -68x = 10 Add '432' to each side of the equation. -432 + 432 + -68x = 10 + 432 Combine like terms: -432 + 432 = 0 0 + -68x = 10 + 432 -68x = 10 + 432 Combine like terms: 10 + 432 = 442 -68x = 442 Divide each side by '-68'. x = -6.5 Simplifying x = -6.5
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