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Simplifying 7(x + 6) = -7(x + 6) Reorder the terms: 7(6 + x) = -7(x + 6) (6 * 7 + x * 7) = -7(x + 6) (42 + 7x) = -7(x + 6) Reorder the terms: 42 + 7x = -7(6 + x) 42 + 7x = (6 * -7 + x * -7) 42 + 7x = (-42 + -7x) Solving 42 + 7x = -42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 42 + 7x + 7x = -42 + -7x + 7x Combine like terms: 7x + 7x = 14x 42 + 14x = -42 + -7x + 7x Combine like terms: -7x + 7x = 0 42 + 14x = -42 + 0 42 + 14x = -42 Add '-42' to each side of the equation. 42 + -42 + 14x = -42 + -42 Combine like terms: 42 + -42 = 0 0 + 14x = -42 + -42 14x = -42 + -42 Combine like terms: -42 + -42 = -84 14x = -84 Divide each side by '14'. x = -6 Simplifying x = -6
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