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Simplifying -3 + 4(3 + -2(x + -5)) = 3(x + -2) Reorder the terms: -3 + 4(3 + -2(-5 + x)) = 3(x + -2) -3 + 4(3 + (-5 * -2 + x * -2)) = 3(x + -2) -3 + 4(3 + (10 + -2x)) = 3(x + -2) Combine like terms: 3 + 10 = 13 -3 + 4(13 + -2x) = 3(x + -2) -3 + (13 * 4 + -2x * 4) = 3(x + -2) -3 + (52 + -8x) = 3(x + -2) Combine like terms: -3 + 52 = 49 49 + -8x = 3(x + -2) Reorder the terms: 49 + -8x = 3(-2 + x) 49 + -8x = (-2 * 3 + x * 3) 49 + -8x = (-6 + 3x) Solving 49 + -8x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 49 + -8x + -3x = -6 + 3x + -3x Combine like terms: -8x + -3x = -11x 49 + -11x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 49 + -11x = -6 + 0 49 + -11x = -6 Add '-49' to each side of the equation. 49 + -49 + -11x = -6 + -49 Combine like terms: 49 + -49 = 0 0 + -11x = -6 + -49 -11x = -6 + -49 Combine like terms: -6 + -49 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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