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Simplifying 24x + 32 = 4(5x + 6) Reorder the terms: 32 + 24x = 4(5x + 6) Reorder the terms: 32 + 24x = 4(6 + 5x) 32 + 24x = (6 * 4 + 5x * 4) 32 + 24x = (24 + 20x) Solving 32 + 24x = 24 + 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. 32 + 24x + -20x = 24 + 20x + -20x Combine like terms: 24x + -20x = 4x 32 + 4x = 24 + 20x + -20x Combine like terms: 20x + -20x = 0 32 + 4x = 24 + 0 32 + 4x = 24 Add '-32' to each side of the equation. 32 + -32 + 4x = 24 + -32 Combine like terms: 32 + -32 = 0 0 + 4x = 24 + -32 4x = 24 + -32 Combine like terms: 24 + -32 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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