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Simplifying -7x + -1 + 7(x + 1) = -5x + -1 Reorder the terms: -7x + -1 + 7(1 + x) = -5x + -1 -7x + -1 + (1 * 7 + x * 7) = -5x + -1 -7x + -1 + (7 + 7x) = -5x + -1 Reorder the terms: -1 + 7 + -7x + 7x = -5x + -1 Combine like terms: -1 + 7 = 6 6 + -7x + 7x = -5x + -1 Combine like terms: -7x + 7x = 0 6 + 0 = -5x + -1 6 = -5x + -1 Reorder the terms: 6 = -1 + -5x Solving 6 = -1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 5x = -1 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 5x = -1 + 0 6 + 5x = -1 Add '-6' to each side of the equation. 6 + -6 + 5x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -1 + -6 5x = -1 + -6 Combine like terms: -1 + -6 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4
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