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Simplifying 27x + -5 = 18x + 10 + 6x Reorder the terms: -5 + 27x = 18x + 10 + 6x Reorder the terms: -5 + 27x = 10 + 18x + 6x Combine like terms: 18x + 6x = 24x -5 + 27x = 10 + 24x Solving -5 + 27x = 10 + 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. -5 + 27x + -24x = 10 + 24x + -24x Combine like terms: 27x + -24x = 3x -5 + 3x = 10 + 24x + -24x Combine like terms: 24x + -24x = 0 -5 + 3x = 10 + 0 -5 + 3x = 10 Add '5' to each side of the equation. -5 + 5 + 3x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 10 + 5 3x = 10 + 5 Combine like terms: 10 + 5 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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