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Simplifying -8(12x + 41) = 3(45 + -7x) Reorder the terms: -8(41 + 12x) = 3(45 + -7x) (41 * -8 + 12x * -8) = 3(45 + -7x) (-328 + -96x) = 3(45 + -7x) -328 + -96x = (45 * 3 + -7x * 3) -328 + -96x = (135 + -21x) Solving -328 + -96x = 135 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -328 + -96x + 21x = 135 + -21x + 21x Combine like terms: -96x + 21x = -75x -328 + -75x = 135 + -21x + 21x Combine like terms: -21x + 21x = 0 -328 + -75x = 135 + 0 -328 + -75x = 135 Add '328' to each side of the equation. -328 + 328 + -75x = 135 + 328 Combine like terms: -328 + 328 = 0 0 + -75x = 135 + 328 -75x = 135 + 328 Combine like terms: 135 + 328 = 463 -75x = 463 Divide each side by '-75'. x = -6.173333333 Simplifying x = -6.173333333
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