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Simplifying 7(x + 6) + 7(x + 6) = 5x + -5 Reorder the terms: 7(6 + x) + 7(x + 6) = 5x + -5 (6 * 7 + x * 7) + 7(x + 6) = 5x + -5 (42 + 7x) + 7(x + 6) = 5x + -5 Reorder the terms: 42 + 7x + 7(6 + x) = 5x + -5 42 + 7x + (6 * 7 + x * 7) = 5x + -5 42 + 7x + (42 + 7x) = 5x + -5 Reorder the terms: 42 + 42 + 7x + 7x = 5x + -5 Combine like terms: 42 + 42 = 84 84 + 7x + 7x = 5x + -5 Combine like terms: 7x + 7x = 14x 84 + 14x = 5x + -5 Reorder the terms: 84 + 14x = -5 + 5x Solving 84 + 14x = -5 + 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. 84 + 14x + -5x = -5 + 5x + -5x Combine like terms: 14x + -5x = 9x 84 + 9x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 84 + 9x = -5 + 0 84 + 9x = -5 Add '-84' to each side of the equation. 84 + -84 + 9x = -5 + -84 Combine like terms: 84 + -84 = 0 0 + 9x = -5 + -84 9x = -5 + -84 Combine like terms: -5 + -84 = -89 9x = -89 Divide each side by '9'. x = -9.888888889 Simplifying x = -9.888888889
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