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Simplifying 7(x + 6) + (7x + 6) = 5x + -5 Reorder the terms: 7(6 + x) + (7x + 6) = 5x + -5 (6 * 7 + x * 7) + (7x + 6) = 5x + -5 (42 + 7x) + (7x + 6) = 5x + -5 Reorder the terms: 42 + 7x + (6 + 7x) = 5x + -5 Remove parenthesis around (6 + 7x) 42 + 7x + 6 + 7x = 5x + -5 Reorder the terms: 42 + 6 + 7x + 7x = 5x + -5 Combine like terms: 42 + 6 = 48 48 + 7x + 7x = 5x + -5 Combine like terms: 7x + 7x = 14x 48 + 14x = 5x + -5 Reorder the terms: 48 + 14x = -5 + 5x Solving 48 + 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. 48 + 14x + -5x = -5 + 5x + -5x Combine like terms: 14x + -5x = 9x 48 + 9x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + 9x = -5 + 0 48 + 9x = -5 Add '-48' to each side of the equation. 48 + -48 + 9x = -5 + -48 Combine like terms: 48 + -48 = 0 0 + 9x = -5 + -48 9x = -5 + -48 Combine like terms: -5 + -48 = -53 9x = -53 Divide each side by '9'. x = -5.888888889 Simplifying x = -5.888888889
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