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Simplifying 13 + 2(-4x + 6) + -12 = -43 Reorder the terms: 13 + 2(6 + -4x) + -12 = -43 13 + (6 * 2 + -4x * 2) + -12 = -43 13 + (12 + -8x) + -12 = -43 Reorder the terms: 13 + 12 + -12 + -8x = -43 Combine like terms: 13 + 12 = 25 25 + -12 + -8x = -43 Combine like terms: 25 + -12 = 13 13 + -8x = -43 Solving 13 + -8x = -43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8x = -43 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = -43 + -13 -8x = -43 + -13 Combine like terms: -43 + -13 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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