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Simplifying 5x + -12x + -32 = 5x + 8 + -6x Reorder the terms: -32 + 5x + -12x = 5x + 8 + -6x Combine like terms: 5x + -12x = -7x -32 + -7x = 5x + 8 + -6x Reorder the terms: -32 + -7x = 8 + 5x + -6x Combine like terms: 5x + -6x = -1x -32 + -7x = 8 + -1x Solving -32 + -7x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -32 + -7x + x = 8 + -1x + x Combine like terms: -7x + x = -6x -32 + -6x = 8 + -1x + x Combine like terms: -1x + x = 0 -32 + -6x = 8 + 0 -32 + -6x = 8 Add '32' to each side of the equation. -32 + 32 + -6x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -6x = 8 + 32 -6x = 8 + 32 Combine like terms: 8 + 32 = 40 -6x = 40 Divide each side by '-6'. x = -6.666666667 Simplifying x = -6.666666667
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