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Simplifying 11 + -8x + -17 = 6x + 24 + -4x Reorder the terms: 11 + -17 + -8x = 6x + 24 + -4x Combine like terms: 11 + -17 = -6 -6 + -8x = 6x + 24 + -4x Reorder the terms: -6 + -8x = 24 + 6x + -4x Combine like terms: 6x + -4x = 2x -6 + -8x = 24 + 2x Solving -6 + -8x = 24 + 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. -6 + -8x + -2x = 24 + 2x + -2x Combine like terms: -8x + -2x = -10x -6 + -10x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -10x = 24 + 0 -6 + -10x = 24 Add '6' to each side of the equation. -6 + 6 + -10x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 24 + 6 -10x = 24 + 6 Combine like terms: 24 + 6 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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