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