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Simplifying 2(5x + -4) + -3(4x + 3) = -43 Reorder the terms: 2(-4 + 5x) + -3(4x + 3) = -43 (-4 * 2 + 5x * 2) + -3(4x + 3) = -43 (-8 + 10x) + -3(4x + 3) = -43 Reorder the terms: -8 + 10x + -3(3 + 4x) = -43 -8 + 10x + (3 * -3 + 4x * -3) = -43 -8 + 10x + (-9 + -12x) = -43 Reorder the terms: -8 + -9 + 10x + -12x = -43 Combine like terms: -8 + -9 = -17 -17 + 10x + -12x = -43 Combine like terms: 10x + -12x = -2x -17 + -2x = -43 Solving -17 + -2x = -43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -2x = -43 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = -43 + 17 -2x = -43 + 17 Combine like terms: -43 + 17 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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