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Simplifying 8(7 + -1x) = 4(3x + -16) (7 * 8 + -1x * 8) = 4(3x + -16) (56 + -8x) = 4(3x + -16) Reorder the terms: 56 + -8x = 4(-16 + 3x) 56 + -8x = (-16 * 4 + 3x * 4) 56 + -8x = (-64 + 12x) Solving 56 + -8x = -64 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 56 + -8x + -12x = -64 + 12x + -12x Combine like terms: -8x + -12x = -20x 56 + -20x = -64 + 12x + -12x Combine like terms: 12x + -12x = 0 56 + -20x = -64 + 0 56 + -20x = -64 Add '-56' to each side of the equation. 56 + -56 + -20x = -64 + -56 Combine like terms: 56 + -56 = 0 0 + -20x = -64 + -56 -20x = -64 + -56 Combine like terms: -64 + -56 = -120 -20x = -120 Divide each side by '-20'. x = 6 Simplifying x = 6
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