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Simplifying 8x + 18 + 3(x + 2) = 6x + 54 Reorder the terms: 8x + 18 + 3(2 + x) = 6x + 54 8x + 18 + (2 * 3 + x * 3) = 6x + 54 8x + 18 + (6 + 3x) = 6x + 54 Reorder the terms: 18 + 6 + 8x + 3x = 6x + 54 Combine like terms: 18 + 6 = 24 24 + 8x + 3x = 6x + 54 Combine like terms: 8x + 3x = 11x 24 + 11x = 6x + 54 Reorder the terms: 24 + 11x = 54 + 6x Solving 24 + 11x = 54 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 11x + -6x = 54 + 6x + -6x Combine like terms: 11x + -6x = 5x 24 + 5x = 54 + 6x + -6x Combine like terms: 6x + -6x = 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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