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Simplifying 5(x + -4) + -3(2 + -3x) = -54 Reorder the terms: 5(-4 + x) + -3(2 + -3x) = -54 (-4 * 5 + x * 5) + -3(2 + -3x) = -54 (-20 + 5x) + -3(2 + -3x) = -54 -20 + 5x + (2 * -3 + -3x * -3) = -54 -20 + 5x + (-6 + 9x) = -54 Reorder the terms: -20 + -6 + 5x + 9x = -54 Combine like terms: -20 + -6 = -26 -26 + 5x + 9x = -54 Combine like terms: 5x + 9x = 14x -26 + 14x = -54 Solving -26 + 14x = -54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 14x = -54 + 26 Combine like terms: -26 + 26 = 0 0 + 14x = -54 + 26 14x = -54 + 26 Combine like terms: -54 + 26 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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