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Simplifying x + 6 = -1(6x + 6) Reorder the terms: 6 + x = -1(6x + 6) Reorder the terms: 6 + x = -1(6 + 6x) 6 + x = (6 * -1 + 6x * -1) 6 + x = (-6 + -6x) Solving 6 + x = -6 + -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 + x + 6x = -6 + -6x + 6x Combine like terms: x + 6x = 7x 6 + 7x = -6 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 7x = -6 + 0 6 + 7x = -6 Add '-6' to each side of the equation. 6 + -6 + 7x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -6 + -6 7x = -6 + -6 Combine like terms: -6 + -6 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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