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Simplifying 6x + -7(11 + -1x) = 4x + -3(20 + -1x) 6x + (11 * -7 + -1x * -7) = 4x + -3(20 + -1x) 6x + (-77 + 7x) = 4x + -3(20 + -1x) Reorder the terms: -77 + 6x + 7x = 4x + -3(20 + -1x) Combine like terms: 6x + 7x = 13x -77 + 13x = 4x + -3(20 + -1x) -77 + 13x = 4x + (20 * -3 + -1x * -3) -77 + 13x = 4x + (-60 + 3x) Reorder the terms: -77 + 13x = -60 + 4x + 3x Combine like terms: 4x + 3x = 7x -77 + 13x = -60 + 7x Solving -77 + 13x = -60 + 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. -77 + 13x + -7x = -60 + 7x + -7x Combine like terms: 13x + -7x = 6x -77 + 6x = -60 + 7x + -7x Combine like terms: 7x + -7x = 0 -77 + 6x = -60 + 0 -77 + 6x = -60 Add '77' to each side of the equation. -77 + 77 + 6x = -60 + 77 Combine like terms: -77 + 77 = 0 0 + 6x = -60 + 77 6x = -60 + 77 Combine like terms: -60 + 77 = 17 6x = 17 Divide each side by '6'. x = 2.833333333 Simplifying x = 2.833333333
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