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Simplifying 24x + -8 = 5(4x + 4) Reorder the terms: -8 + 24x = 5(4x + 4) Reorder the terms: -8 + 24x = 5(4 + 4x) -8 + 24x = (4 * 5 + 4x * 5) -8 + 24x = (20 + 20x) Solving -8 + 24x = 20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -8 + 24x + -20x = 20 + 20x + -20x Combine like terms: 24x + -20x = 4x -8 + 4x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 -8 + 4x = 20 + 0 -8 + 4x = 20 Add '8' to each side of the equation. -8 + 8 + 4x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 20 + 8 4x = 20 + 8 Combine like terms: 20 + 8 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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