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Simplifying -6(2x + -8) + x = 5(x + 8) Reorder the terms: -6(-8 + 2x) + x = 5(x + 8) (-8 * -6 + 2x * -6) + x = 5(x + 8) (48 + -12x) + x = 5(x + 8) Combine like terms: -12x + x = -11x 48 + -11x = 5(x + 8) Reorder the terms: 48 + -11x = 5(8 + x) 48 + -11x = (8 * 5 + x * 5) 48 + -11x = (40 + 5x) Solving 48 + -11x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 48 + -11x + -5x = 40 + 5x + -5x Combine like terms: -11x + -5x = -16x 48 + -16x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + -16x = 40 + 0 48 + -16x = 40 Add '-48' to each side of the equation. 48 + -48 + -16x = 40 + -48 Combine like terms: 48 + -48 = 0 0 + -16x = 40 + -48 -16x = 40 + -48 Combine like terms: 40 + -48 = -8 -16x = -8 Divide each side by '-16'. x = 0.5 Simplifying x = 0.5
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