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Simplifying -8x + -11(x + -3) = -2(7x + -9) Reorder the terms: -8x + -11(-3 + x) = -2(7x + -9) -8x + (-3 * -11 + x * -11) = -2(7x + -9) -8x + (33 + -11x) = -2(7x + -9) Reorder the terms: 33 + -8x + -11x = -2(7x + -9) Combine like terms: -8x + -11x = -19x 33 + -19x = -2(7x + -9) Reorder the terms: 33 + -19x = -2(-9 + 7x) 33 + -19x = (-9 * -2 + 7x * -2) 33 + -19x = (18 + -14x) Solving 33 + -19x = 18 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 33 + -19x + 14x = 18 + -14x + 14x Combine like terms: -19x + 14x = -5x 33 + -5x = 18 + -14x + 14x Combine like terms: -14x + 14x = 0 33 + -5x = 18 + 0 33 + -5x = 18 Add '-33' to each side of the equation. 33 + -33 + -5x = 18 + -33 Combine like terms: 33 + -33 = 0 0 + -5x = 18 + -33 -5x = 18 + -33 Combine like terms: 18 + -33 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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