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Simplifying -5(x + -8) = -8(6 + 2x) Reorder the terms: -5(-8 + x) = -8(6 + 2x) (-8 * -5 + x * -5) = -8(6 + 2x) (40 + -5x) = -8(6 + 2x) 40 + -5x = (6 * -8 + 2x * -8) 40 + -5x = (-48 + -16x) Solving 40 + -5x = -48 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 40 + -5x + 16x = -48 + -16x + 16x Combine like terms: -5x + 16x = 11x 40 + 11x = -48 + -16x + 16x Combine like terms: -16x + 16x = 0 40 + 11x = -48 + 0 40 + 11x = -48 Add '-40' to each side of the equation. 40 + -40 + 11x = -48 + -40 Combine like terms: 40 + -40 = 0 0 + 11x = -48 + -40 11x = -48 + -40 Combine like terms: -48 + -40 = -88 11x = -88 Divide each side by '11'. x = -8 Simplifying x = -8
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