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Simplifying 8(x + 3) = 3x + 54 Reorder the terms: 8(3 + x) = 3x + 54 (3 * 8 + x * 8) = 3x + 54 (24 + 8x) = 3x + 54 Reorder the terms: 24 + 8x = 54 + 3x Solving 24 + 8x = 54 + 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. 24 + 8x + -3x = 54 + 3x + -3x Combine like terms: 8x + -3x = 5x 24 + 5x = 54 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 5x = 54 + 0 24 + 5x = 54 Add '-24' to each side of the equation. 24 + -24 + 5x = 54 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 54 + -24 5x = 54 + -24 Combine like terms: 54 + -24 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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