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Simplifying 12 + 54x + -24 = -8x + 3 + 18x + 18 Reorder the terms: 12 + -24 + 54x = -8x + 3 + 18x + 18 Combine like terms: 12 + -24 = -12 -12 + 54x = -8x + 3 + 18x + 18 Reorder the terms: -12 + 54x = 3 + 18 + -8x + 18x Combine like terms: 3 + 18 = 21 -12 + 54x = 21 + -8x + 18x Combine like terms: -8x + 18x = 10x -12 + 54x = 21 + 10x Solving -12 + 54x = 21 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 54x + -10x = 21 + 10x + -10x Combine like terms: 54x + -10x = 44x -12 + 44x = 21 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 44x = 21 + 0 -12 + 44x = 21 Add '12' to each side of the equation. -12 + 12 + 44x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 44x = 21 + 12 44x = 21 + 12 Combine like terms: 21 + 12 = 33 44x = 33 Divide each side by '44'. x = 0.75 Simplifying x = 0.75
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