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Simplifying 14x + -1(6 + -5x) = 4x + 54 14x + (6 * -1 + -5x * -1) = 4x + 54 14x + (-6 + 5x) = 4x + 54 Reorder the terms: -6 + 14x + 5x = 4x + 54 Combine like terms: 14x + 5x = 19x -6 + 19x = 4x + 54 Reorder the terms: -6 + 19x = 54 + 4x Solving -6 + 19x = 54 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 19x + -4x = 54 + 4x + -4x Combine like terms: 19x + -4x = 15x -6 + 15x = 54 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 15x = 54 + 0 -6 + 15x = 54 Add '6' to each side of the equation. -6 + 6 + 15x = 54 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 54 + 6 15x = 54 + 6 Combine like terms: 54 + 6 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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