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Simplifying 5x + 8 + 7x + -10 + 26 + -32 + -24x = 46 Reorder the terms: 8 + -10 + 26 + -32 + 5x + 7x + -24x = 46 Combine like terms: 8 + -10 = -2 -2 + 26 + -32 + 5x + 7x + -24x = 46 Combine like terms: -2 + 26 = 24 24 + -32 + 5x + 7x + -24x = 46 Combine like terms: 24 + -32 = -8 -8 + 5x + 7x + -24x = 46 Combine like terms: 5x + 7x = 12x -8 + 12x + -24x = 46 Combine like terms: 12x + -24x = -12x -8 + -12x = 46 Solving -8 + -12x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -12x = 46 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = 46 + 8 -12x = 46 + 8 Combine like terms: 46 + 8 = 54 -12x = 54 Divide each side by '-12'. x = -4.5 Simplifying x = -4.5
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