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Simplifying 54x + -14 + 12x = 32 + -24x Reorder the terms: -14 + 54x + 12x = 32 + -24x Combine like terms: 54x + 12x = 66x -14 + 66x = 32 + -24x Solving -14 + 66x = 32 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -14 + 66x + 24x = 32 + -24x + 24x Combine like terms: 66x + 24x = 90x -14 + 90x = 32 + -24x + 24x Combine like terms: -24x + 24x = 0 -14 + 90x = 32 + 0 -14 + 90x = 32 Add '14' to each side of the equation. -14 + 14 + 90x = 32 + 14 Combine like terms: -14 + 14 = 0 0 + 90x = 32 + 14 90x = 32 + 14 Combine like terms: 32 + 14 = 46 90x = 46 Divide each side by '90'. x = 0.5111111111 Simplifying x = 0.5111111111
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