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Simplifying 5 + -8x + -24 = 7x + 11 + -5x Reorder the terms: 5 + -24 + -8x = 7x + 11 + -5x Combine like terms: 5 + -24 = -19 -19 + -8x = 7x + 11 + -5x Reorder the terms: -19 + -8x = 11 + 7x + -5x Combine like terms: 7x + -5x = 2x -19 + -8x = 11 + 2x Solving -19 + -8x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -19 + -8x + -2x = 11 + 2x + -2x Combine like terms: -8x + -2x = -10x -19 + -10x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + -10x = 11 + 0 -19 + -10x = 11 Add '19' to each side of the equation. -19 + 19 + -10x = 11 + 19 Combine like terms: -19 + 19 = 0 0 + -10x = 11 + 19 -10x = 11 + 19 Combine like terms: 11 + 19 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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