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Simplifying -2(x + -4) + -11x = -7(3x + 8) Reorder the terms: -2(-4 + x) + -11x = -7(3x + 8) (-4 * -2 + x * -2) + -11x = -7(3x + 8) (8 + -2x) + -11x = -7(3x + 8) Combine like terms: -2x + -11x = -13x 8 + -13x = -7(3x + 8) Reorder the terms: 8 + -13x = -7(8 + 3x) 8 + -13x = (8 * -7 + 3x * -7) 8 + -13x = (-56 + -21x) Solving 8 + -13x = -56 + -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. 8 + -13x + 21x = -56 + -21x + 21x Combine like terms: -13x + 21x = 8x 8 + 8x = -56 + -21x + 21x Combine like terms: -21x + 21x = 0 8 + 8x = -56 + 0 8 + 8x = -56 Add '-8' to each side of the equation. 8 + -8 + 8x = -56 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = -56 + -8 8x = -56 + -8 Combine like terms: -56 + -8 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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