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Simplifying 6 + -1[-3(2x + -10 + 6) + -5x] = 22 + -4(4x + -6) Reorder the terms: 6 + -1[-3(-10 + 6 + 2x) + -5x] = 22 + -4(4x + -6) Combine like terms: -10 + 6 = -4 6 + -1[-3(-4 + 2x) + -5x] = 22 + -4(4x + -6) 6 + -1[(-4 * -3 + 2x * -3) + -5x] = 22 + -4(4x + -6) 6 + -1[(12 + -6x) + -5x] = 22 + -4(4x + -6) Combine like terms: -6x + -5x = -11x 6 + -1[12 + -11x] = 22 + -4(4x + -6) 6 + [12 * -1 + -11x * -1] = 22 + -4(4x + -6) 6 + [-12 + 11x] = 22 + -4(4x + -6) Combine like terms: 6 + -12 = -6 -6 + 11x = 22 + -4(4x + -6) Reorder the terms: -6 + 11x = 22 + -4(-6 + 4x) -6 + 11x = 22 + (-6 * -4 + 4x * -4) -6 + 11x = 22 + (24 + -16x) Combine like terms: 22 + 24 = 46 -6 + 11x = 46 + -16x Solving -6 + 11x = 46 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -6 + 11x + 16x = 46 + -16x + 16x Combine like terms: 11x + 16x = 27x -6 + 27x = 46 + -16x + 16x Combine like terms: -16x + 16x = 0 -6 + 27x = 46 + 0 -6 + 27x = 46 Add '6' to each side of the equation. -6 + 6 + 27x = 46 + 6 Combine like terms: -6 + 6 = 0 0 + 27x = 46 + 6 27x = 46 + 6 Combine like terms: 46 + 6 = 52 27x = 52 Divide each side by '27'. x = 1.925925926 Simplifying x = 1.925925926
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