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Simplifying 8(x + 4) = 3(x + 24) Reorder the terms: 8(4 + x) = 3(x + 24) (4 * 8 + x * 8) = 3(x + 24) (32 + 8x) = 3(x + 24) Reorder the terms: 32 + 8x = 3(24 + x) 32 + 8x = (24 * 3 + x * 3) 32 + 8x = (72 + 3x) Solving 32 + 8x = 72 + 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. 32 + 8x + -3x = 72 + 3x + -3x Combine like terms: 8x + -3x = 5x 32 + 5x = 72 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 5x = 72 + 0 32 + 5x = 72 Add '-32' to each side of the equation. 32 + -32 + 5x = 72 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = 72 + -32 5x = 72 + -32 Combine like terms: 72 + -32 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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