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Simplifying -27 + -7x = 10x + 24 Reorder the terms: -27 + -7x = 24 + 10x Solving -27 + -7x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -27 + -7x + -10x = 24 + 10x + -10x Combine like terms: -7x + -10x = -17x -27 + -17x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 -27 + -17x = 24 + 0 -27 + -17x = 24 Add '27' to each side of the equation. -27 + 27 + -17x = 24 + 27 Combine like terms: -27 + 27 = 0 0 + -17x = 24 + 27 -17x = 24 + 27 Combine like terms: 24 + 27 = 51 -17x = 51 Divide each side by '-17'. x = -3 Simplifying x = -3
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