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Simplifying 8 + -5(3x + 2) = 2(2 + -11x) + -8 Reorder the terms: 8 + -5(2 + 3x) = 2(2 + -11x) + -8 8 + (2 * -5 + 3x * -5) = 2(2 + -11x) + -8 8 + (-10 + -15x) = 2(2 + -11x) + -8 Combine like terms: 8 + -10 = -2 -2 + -15x = 2(2 + -11x) + -8 -2 + -15x = (2 * 2 + -11x * 2) + -8 -2 + -15x = (4 + -22x) + -8 Reorder the terms: -2 + -15x = 4 + -8 + -22x Combine like terms: 4 + -8 = -4 -2 + -15x = -4 + -22x Solving -2 + -15x = -4 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -2 + -15x + 22x = -4 + -22x + 22x Combine like terms: -15x + 22x = 7x -2 + 7x = -4 + -22x + 22x Combine like terms: -22x + 22x = 0 -2 + 7x = -4 + 0 -2 + 7x = -4 Add '2' to each side of the equation. -2 + 2 + 7x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = -4 + 2 7x = -4 + 2 Combine like terms: -4 + 2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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