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Simplifying 10(-12x + 8) = 3x + 24 Reorder the terms: 10(8 + -12x) = 3x + 24 (8 * 10 + -12x * 10) = 3x + 24 (80 + -120x) = 3x + 24 Reorder the terms: 80 + -120x = 24 + 3x Solving 80 + -120x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 80 + -120x + -3x = 24 + 3x + -3x Combine like terms: -120x + -3x = -123x 80 + -123x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 80 + -123x = 24 + 0 80 + -123x = 24 Add '-80' to each side of the equation. 80 + -80 + -123x = 24 + -80 Combine like terms: 80 + -80 = 0 0 + -123x = 24 + -80 -123x = 24 + -80 Combine like terms: 24 + -80 = -56 -123x = -56 Divide each side by '-123'. x = 0.4552845528 Simplifying x = 0.4552845528
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