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Simplifying -75 = -7(x + 6) + 8(7x + 2) Reorder the terms: -75 = -7(6 + x) + 8(7x + 2) -75 = (6 * -7 + x * -7) + 8(7x + 2) -75 = (-42 + -7x) + 8(7x + 2) Reorder the terms: -75 = -42 + -7x + 8(2 + 7x) -75 = -42 + -7x + (2 * 8 + 7x * 8) -75 = -42 + -7x + (16 + 56x) Reorder the terms: -75 = -42 + 16 + -7x + 56x Combine like terms: -42 + 16 = -26 -75 = -26 + -7x + 56x Combine like terms: -7x + 56x = 49x -75 = -26 + 49x Solving -75 = -26 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. -75 + -49x = -26 + 49x + -49x Combine like terms: 49x + -49x = 0 -75 + -49x = -26 + 0 -75 + -49x = -26 Add '75' to each side of the equation. -75 + 75 + -49x = -26 + 75 Combine like terms: -75 + 75 = 0 0 + -49x = -26 + 75 -49x = -26 + 75 Combine like terms: -26 + 75 = 49 -49x = 49 Divide each side by '-49'. x = -1 Simplifying x = -1
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