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Simplifying 27x + -1 = 19x + 14 + 5x Reorder the terms: -1 + 27x = 19x + 14 + 5x Reorder the terms: -1 + 27x = 14 + 19x + 5x Combine like terms: 19x + 5x = 24x -1 + 27x = 14 + 24x Solving -1 + 27x = 14 + 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. -1 + 27x + -24x = 14 + 24x + -24x Combine like terms: 27x + -24x = 3x -1 + 3x = 14 + 24x + -24x Combine like terms: 24x + -24x = 0 -1 + 3x = 14 + 0 -1 + 3x = 14 Add '1' to each side of the equation. -1 + 1 + 3x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 14 + 1 3x = 14 + 1 Combine like terms: 14 + 1 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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