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Simplifying -3x + 43 = -2(-5 + -4x) Reorder the terms: 43 + -3x = -2(-5 + -4x) 43 + -3x = (-5 * -2 + -4x * -2) 43 + -3x = (10 + 8x) Solving 43 + -3x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 43 + -3x + -8x = 10 + 8x + -8x Combine like terms: -3x + -8x = -11x 43 + -11x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 43 + -11x = 10 + 0 43 + -11x = 10 Add '-43' to each side of the equation. 43 + -43 + -11x = 10 + -43 Combine like terms: 43 + -43 = 0 0 + -11x = 10 + -43 -11x = 10 + -43 Combine like terms: 10 + -43 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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