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Simplifying 7(6 + -2x) + 7(5x + 6) = x + 7x (6 * 7 + -2x * 7) + 7(5x + 6) = x + 7x (42 + -14x) + 7(5x + 6) = x + 7x Reorder the terms: 42 + -14x + 7(6 + 5x) = x + 7x 42 + -14x + (6 * 7 + 5x * 7) = x + 7x 42 + -14x + (42 + 35x) = x + 7x Reorder the terms: 42 + 42 + -14x + 35x = x + 7x Combine like terms: 42 + 42 = 84 84 + -14x + 35x = x + 7x Combine like terms: -14x + 35x = 21x 84 + 21x = x + 7x Combine like terms: x + 7x = 8x 84 + 21x = 8x Solving 84 + 21x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 84 + 21x + -8x = 8x + -8x Combine like terms: 21x + -8x = 13x 84 + 13x = 8x + -8x Combine like terms: 8x + -8x = 0 84 + 13x = 0 Add '-84' to each side of the equation. 84 + -84 + 13x = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 13x = 0 + -84 13x = 0 + -84 Combine like terms: 0 + -84 = -84 13x = -84 Divide each side by '13'. x = -6.461538462 Simplifying x = -6.461538462
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