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Simplifying 6x + -7(11 + -1x) + 11 = 4x + -3(20 + -1x) 6x + (11 * -7 + -1x * -7) + 11 = 4x + -3(20 + -1x) 6x + (-77 + 7x) + 11 = 4x + -3(20 + -1x) Reorder the terms: -77 + 11 + 6x + 7x = 4x + -3(20 + -1x) Combine like terms: -77 + 11 = -66 -66 + 6x + 7x = 4x + -3(20 + -1x) Combine like terms: 6x + 7x = 13x -66 + 13x = 4x + -3(20 + -1x) -66 + 13x = 4x + (20 * -3 + -1x * -3) -66 + 13x = 4x + (-60 + 3x) Reorder the terms: -66 + 13x = -60 + 4x + 3x Combine like terms: 4x + 3x = 7x -66 + 13x = -60 + 7x Solving -66 + 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. -66 + 13x + -7x = -60 + 7x + -7x Combine like terms: 13x + -7x = 6x -66 + 6x = -60 + 7x + -7x Combine like terms: 7x + -7x = 0 -66 + 6x = -60 + 0 -66 + 6x = -60 Add '66' to each side of the equation. -66 + 66 + 6x = -60 + 66 Combine like terms: -66 + 66 = 0 0 + 6x = -60 + 66 6x = -60 + 66 Combine like terms: -60 + 66 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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