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Simplifying -6 + x + -4 + 5 = 1 + 7x Reorder the terms: -6 + -4 + 5 + x = 1 + 7x Combine like terms: -6 + -4 = -10 -10 + 5 + x = 1 + 7x Combine like terms: -10 + 5 = -5 -5 + x = 1 + 7x Solving -5 + x = 1 + 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. -5 + x + -7x = 1 + 7x + -7x Combine like terms: x + -7x = -6x -5 + -6x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -6x = 1 + 0 -5 + -6x = 1 Add '5' to each side of the equation. -5 + 5 + -6x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 1 + 5 -6x = 1 + 5 Combine like terms: 1 + 5 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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