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Simplifying -6x + 5(-2x + -7) = -43 + -8x Reorder the terms: -6x + 5(-7 + -2x) = -43 + -8x -6x + (-7 * 5 + -2x * 5) = -43 + -8x -6x + (-35 + -10x) = -43 + -8x Reorder the terms: -35 + -6x + -10x = -43 + -8x Combine like terms: -6x + -10x = -16x -35 + -16x = -43 + -8x Solving -35 + -16x = -43 + -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. -35 + -16x + 8x = -43 + -8x + 8x Combine like terms: -16x + 8x = -8x -35 + -8x = -43 + -8x + 8x Combine like terms: -8x + 8x = 0 -35 + -8x = -43 + 0 -35 + -8x = -43 Add '35' to each side of the equation. -35 + 35 + -8x = -43 + 35 Combine like terms: -35 + 35 = 0 0 + -8x = -43 + 35 -8x = -43 + 35 Combine like terms: -43 + 35 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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