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Simplifying 5x + 6 + -1(3x + -1(5(x + -2) + -2)) = 2(x + -13) Reorder the terms: 5x + 6 + -1(3x + -1(5(-2 + x) + -2)) = 2(x + -13) 5x + 6 + -1(3x + -1((-2 * 5 + x * 5) + -2)) = 2(x + -13) 5x + 6 + -1(3x + -1((-10 + 5x) + -2)) = 2(x + -13) Reorder the terms: 5x + 6 + -1(3x + -1(-10 + -2 + 5x)) = 2(x + -13) Combine like terms: -10 + -2 = -12 5x + 6 + -1(3x + -1(-12 + 5x)) = 2(x + -13) 5x + 6 + -1(3x + (-12 * -1 + 5x * -1)) = 2(x + -13) 5x + 6 + -1(3x + (12 + -5x)) = 2(x + -13) Reorder the terms: 5x + 6 + -1(12 + 3x + -5x) = 2(x + -13) Combine like terms: 3x + -5x = -2x 5x + 6 + -1(12 + -2x) = 2(x + -13) 5x + 6 + (12 * -1 + -2x * -1) = 2(x + -13) 5x + 6 + (-12 + 2x) = 2(x + -13) Reorder the terms: 6 + -12 + 5x + 2x = 2(x + -13) Combine like terms: 6 + -12 = -6 -6 + 5x + 2x = 2(x + -13) Combine like terms: 5x + 2x = 7x -6 + 7x = 2(x + -13) Reorder the terms: -6 + 7x = 2(-13 + x) -6 + 7x = (-13 * 2 + x * 2) -6 + 7x = (-26 + 2x) Solving -6 + 7x = -26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 7x + -2x = -26 + 2x + -2x Combine like terms: 7x + -2x = 5x -6 + 5x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 5x = -26 + 0 -6 + 5x = -26 Add '6' to each side of the equation. -6 + 6 + 5x = -26 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -26 + 6 5x = -26 + 6 Combine like terms: -26 + 6 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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