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Simplifying -2(6x + -24) = 8(x + -2) + -64 Reorder the terms: -2(-24 + 6x) = 8(x + -2) + -64 (-24 * -2 + 6x * -2) = 8(x + -2) + -64 (48 + -12x) = 8(x + -2) + -64 Reorder the terms: 48 + -12x = 8(-2 + x) + -64 48 + -12x = (-2 * 8 + x * 8) + -64 48 + -12x = (-16 + 8x) + -64 Reorder the terms: 48 + -12x = -16 + -64 + 8x Combine like terms: -16 + -64 = -80 48 + -12x = -80 + 8x Solving 48 + -12x = -80 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 48 + -12x + -8x = -80 + 8x + -8x Combine like terms: -12x + -8x = -20x 48 + -20x = -80 + 8x + -8x Combine like terms: 8x + -8x = 0 48 + -20x = -80 + 0 48 + -20x = -80 Add '-48' to each side of the equation. 48 + -48 + -20x = -80 + -48 Combine like terms: 48 + -48 = 0 0 + -20x = -80 + -48 -20x = -80 + -48 Combine like terms: -80 + -48 = -128 -20x = -128 Divide each side by '-20'. x = 6.4 Simplifying x = 6.4
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