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Simplifying 5x + -32 + 5 = 6x + 7 Reorder the terms: -32 + 5 + 5x = 6x + 7 Combine like terms: -32 + 5 = -27 -27 + 5x = 6x + 7 Reorder the terms: -27 + 5x = 7 + 6x Solving -27 + 5x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -27 + 5x + -6x = 7 + 6x + -6x Combine like terms: 5x + -6x = -1x -27 + -1x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + -1x = 7 + 0 -27 + -1x = 7 Add '27' to each side of the equation. -27 + 27 + -1x = 7 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = 7 + 27 -1x = 7 + 27 Combine like terms: 7 + 27 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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