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Simplifying 7[-5x + -6 + -5(x + 1)] = 5x + 6 Reorder the terms: 7[-5x + -6 + -5(1 + x)] = 5x + 6 7[-5x + -6 + (1 * -5 + x * -5)] = 5x + 6 7[-5x + -6 + (-5 + -5x)] = 5x + 6 Reorder the terms: 7[-6 + -5 + -5x + -5x] = 5x + 6 Combine like terms: -6 + -5 = -11 7[-11 + -5x + -5x] = 5x + 6 Combine like terms: -5x + -5x = -10x 7[-11 + -10x] = 5x + 6 [-11 * 7 + -10x * 7] = 5x + 6 [-77 + -70x] = 5x + 6 Reorder the terms: -77 + -70x = 6 + 5x Solving -77 + -70x = 6 + 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. -77 + -70x + -5x = 6 + 5x + -5x Combine like terms: -70x + -5x = -75x -77 + -75x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -77 + -75x = 6 + 0 -77 + -75x = 6 Add '77' to each side of the equation. -77 + 77 + -75x = 6 + 77 Combine like terms: -77 + 77 = 0 0 + -75x = 6 + 77 -75x = 6 + 77 Combine like terms: 6 + 77 = 83 -75x = 83 Divide each side by '-75'. x = -1.106666667 Simplifying x = -1.106666667
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