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Simplifying 24 + 4x = 20(5x + -8) Reorder the terms: 24 + 4x = 20(-8 + 5x) 24 + 4x = (-8 * 20 + 5x * 20) 24 + 4x = (-160 + 100x) Solving 24 + 4x = -160 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 24 + 4x + -100x = -160 + 100x + -100x Combine like terms: 4x + -100x = -96x 24 + -96x = -160 + 100x + -100x Combine like terms: 100x + -100x = 0 24 + -96x = -160 + 0 24 + -96x = -160 Add '-24' to each side of the equation. 24 + -24 + -96x = -160 + -24 Combine like terms: 24 + -24 = 0 0 + -96x = -160 + -24 -96x = -160 + -24 Combine like terms: -160 + -24 = -184 -96x = -184 Divide each side by '-96'. x = 1.916666667 Simplifying x = 1.916666667
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