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Simplifying 8 + 7x + -13 = x + -27 + -5 Reorder the terms: 8 + -13 + 7x = x + -27 + -5 Combine like terms: 8 + -13 = -5 -5 + 7x = x + -27 + -5 Reorder the terms: -5 + 7x = -27 + -5 + x Combine like terms: -27 + -5 = -32 -5 + 7x = -32 + x Solving -5 + 7x = -32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + 7x + -1x = -32 + x + -1x Combine like terms: 7x + -1x = 6x -5 + 6x = -32 + x + -1x Combine like terms: x + -1x = 0 -5 + 6x = -32 + 0 -5 + 6x = -32 Add '5' to each side of the equation. -5 + 5 + 6x = -32 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = -32 + 5 6x = -32 + 5 Combine like terms: -32 + 5 = -27 6x = -27 Divide each side by '6'. x = -4.5 Simplifying x = -4.5
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