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Simplifying 13 + 2(-4x + 6) + -22 = -43 Reorder the terms: 13 + 2(6 + -4x) + -22 = -43 13 + (6 * 2 + -4x * 2) + -22 = -43 13 + (12 + -8x) + -22 = -43 Reorder the terms: 13 + 12 + -22 + -8x = -43 Combine like terms: 13 + 12 = 25 25 + -22 + -8x = -43 Combine like terms: 25 + -22 = 3 3 + -8x = -43 Solving 3 + -8x = -43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = -43 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = -43 + -3 -8x = -43 + -3 Combine like terms: -43 + -3 = -46 -8x = -46 Divide each side by '-8'. x = 5.75 Simplifying x = 5.75
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