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Simplifying -45 = -7(-2 + 8x) + -3(7x + -6) -45 = (-2 * -7 + 8x * -7) + -3(7x + -6) -45 = (14 + -56x) + -3(7x + -6) Reorder the terms: -45 = 14 + -56x + -3(-6 + 7x) -45 = 14 + -56x + (-6 * -3 + 7x * -3) -45 = 14 + -56x + (18 + -21x) Reorder the terms: -45 = 14 + 18 + -56x + -21x Combine like terms: 14 + 18 = 32 -45 = 32 + -56x + -21x Combine like terms: -56x + -21x = -77x -45 = 32 + -77x Solving -45 = 32 + -77x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77x' to each side of the equation. -45 + 77x = 32 + -77x + 77x Combine like terms: -77x + 77x = 0 -45 + 77x = 32 + 0 -45 + 77x = 32 Add '45' to each side of the equation. -45 + 45 + 77x = 32 + 45 Combine like terms: -45 + 45 = 0 0 + 77x = 32 + 45 77x = 32 + 45 Combine like terms: 32 + 45 = 77 77x = 77 Divide each side by '77'. x = 1 Simplifying x = 1
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