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Simplifying 7x + -5 + -7x + 1 = 6x + -7 Reorder the terms: -5 + 1 + 7x + -7x = 6x + -7 Combine like terms: -5 + 1 = -4 -4 + 7x + -7x = 6x + -7 Combine like terms: 7x + -7x = 0 -4 + 0 = 6x + -7 -4 = 6x + -7 Reorder the terms: -4 = -7 + 6x Solving -4 = -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. -4 + -6x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -6x = -7 + 0 -4 + -6x = -7 Add '4' to each side of the equation. -4 + 4 + -6x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -7 + 4 -6x = -7 + 4 Combine like terms: -7 + 4 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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