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Simplifying 80(6 + -1x) = 4(2x + 10) (6 * 80 + -1x * 80) = 4(2x + 10) (480 + -80x) = 4(2x + 10) Reorder the terms: 480 + -80x = 4(10 + 2x) 480 + -80x = (10 * 4 + 2x * 4) 480 + -80x = (40 + 8x) Solving 480 + -80x = 40 + 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. 480 + -80x + -8x = 40 + 8x + -8x Combine like terms: -80x + -8x = -88x 480 + -88x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 480 + -88x = 40 + 0 480 + -88x = 40 Add '-480' to each side of the equation. 480 + -480 + -88x = 40 + -480 Combine like terms: 480 + -480 = 0 0 + -88x = 40 + -480 -88x = 40 + -480 Combine like terms: 40 + -480 = -440 -88x = -440 Divide each side by '-88'. x = 5 Simplifying x = 5
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