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Simplifying 7x + -1 + 7(x + 1) = 6x + 1 Reorder the terms: 7x + -1 + 7(1 + x) = 6x + 1 7x + -1 + (1 * 7 + x * 7) = 6x + 1 7x + -1 + (7 + 7x) = 6x + 1 Reorder the terms: -1 + 7 + 7x + 7x = 6x + 1 Combine like terms: -1 + 7 = 6 6 + 7x + 7x = 6x + 1 Combine like terms: 7x + 7x = 14x 6 + 14x = 6x + 1 Reorder the terms: 6 + 14x = 1 + 6x Solving 6 + 14x = 1 + 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. 6 + 14x + -6x = 1 + 6x + -6x Combine like terms: 14x + -6x = 8x 6 + 8x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 8x = 1 + 0 6 + 8x = 1 Add '-6' to each side of the equation. 6 + -6 + 8x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 1 + -6 8x = 1 + -6 Combine like terms: 1 + -6 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625
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