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Simplifying 54 = 6(0.5(8 + x)) 54 = 6((8 * 0.5 + x * 0.5)) 54 = 6((4 + 0.5x)) 54 = (4 * 6 + 0.5x * 6) 54 = (24 + 3x) Solving 54 = 24 + 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. 54 + -3x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 54 + -3x = 24 + 0 54 + -3x = 24 Add '-54' to each side of the equation. 54 + -54 + -3x = 24 + -54 Combine like terms: 54 + -54 = 0 0 + -3x = 24 + -54 -3x = 24 + -54 Combine like terms: 24 + -54 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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