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Simplifying -5x + 6x + -7 = 7x + 5 Reorder the terms: -7 + -5x + 6x = 7x + 5 Combine like terms: -5x + 6x = 1x -7 + 1x = 7x + 5 Reorder the terms: -7 + 1x = 5 + 7x Solving -7 + 1x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + 1x + -7x = 5 + 7x + -7x Combine like terms: 1x + -7x = -6x -7 + -6x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -6x = 5 + 0 -7 + -6x = 5 Add '7' to each side of the equation. -7 + 7 + -6x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 5 + 7 -6x = 5 + 7 Combine like terms: 5 + 7 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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