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Simplifying -6(3x + 4) + 5x = 54 Reorder the terms: -6(4 + 3x) + 5x = 54 (4 * -6 + 3x * -6) + 5x = 54 (-24 + -18x) + 5x = 54 Combine like terms: -18x + 5x = -13x -24 + -13x = 54 Solving -24 + -13x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -13x = 54 + 24 Combine like terms: -24 + 24 = 0 0 + -13x = 54 + 24 -13x = 54 + 24 Combine like terms: 54 + 24 = 78 -13x = 78 Divide each side by '-13'. x = -6 Simplifying x = -6
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