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Simplifying -43 = -2x + -3(1 + -4x) -43 = -2x + (1 * -3 + -4x * -3) -43 = -2x + (-3 + 12x) Reorder the terms: -43 = -3 + -2x + 12x Combine like terms: -2x + 12x = 10x -43 = -3 + 10x Solving -43 = -3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -43 + -10x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 -43 + -10x = -3 + 0 -43 + -10x = -3 Add '43' to each side of the equation. -43 + 43 + -10x = -3 + 43 Combine like terms: -43 + 43 = 0 0 + -10x = -3 + 43 -10x = -3 + 43 Combine like terms: -3 + 43 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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