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Simplifying 12x + 20(4 + -6x) = 400 12x + (4 * 20 + -6x * 20) = 400 12x + (80 + -120x) = 400 Reorder the terms: 80 + 12x + -120x = 400 Combine like terms: 12x + -120x = -108x 80 + -108x = 400 Solving 80 + -108x = 400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -108x = 400 + -80 Combine like terms: 80 + -80 = 0 0 + -108x = 400 + -80 -108x = 400 + -80 Combine like terms: 400 + -80 = 320 -108x = 320 Divide each side by '-108'. x = -2.962962963 Simplifying x = -2.962962963
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