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Simplifying -11(7x + 3 + -6) + (-9) = 8(-4x + -2x + 3) Reorder the terms: -11(3 + -6 + 7x) + (-9) = 8(-4x + -2x + 3) Combine like terms: 3 + -6 = -3 -11(-3 + 7x) + (-9) = 8(-4x + -2x + 3) (-3 * -11 + 7x * -11) + (-9) = 8(-4x + -2x + 3) (33 + -77x) + (-9) = 8(-4x + -2x + 3) 33 + -77x + -9 = 8(-4x + -2x + 3) Reorder the terms: 33 + -9 + -77x = 8(-4x + -2x + 3) Combine like terms: 33 + -9 = 24 24 + -77x = 8(-4x + -2x + 3) Reorder the terms: 24 + -77x = 8(3 + -4x + -2x) Combine like terms: -4x + -2x = -6x 24 + -77x = 8(3 + -6x) 24 + -77x = (3 * 8 + -6x * 8) 24 + -77x = (24 + -48x) Add '-24' to each side of the equation. 24 + -24 + -77x = 24 + -24 + -48x Combine like terms: 24 + -24 = 0 0 + -77x = 24 + -24 + -48x -77x = 24 + -24 + -48x Combine like terms: 24 + -24 = 0 -77x = 0 + -48x -77x = -48x Solving -77x = -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -77x + 48x = -48x + 48x Combine like terms: -77x + 48x = -29x -29x = -48x + 48x Combine like terms: -48x + 48x = 0 -29x = 0 Divide each side by '-29'. x = 0 Simplifying x = 0
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