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Simplifying 8(-2 + -1x) + -6(1 + x) = 34 (-2 * 8 + -1x * 8) + -6(1 + x) = 34 (-16 + -8x) + -6(1 + x) = 34 -16 + -8x + (1 * -6 + x * -6) = 34 -16 + -8x + (-6 + -6x) = 34 Reorder the terms: -16 + -6 + -8x + -6x = 34 Combine like terms: -16 + -6 = -22 -22 + -8x + -6x = 34 Combine like terms: -8x + -6x = -14x -22 + -14x = 34 Solving -22 + -14x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -14x = 34 + 22 Combine like terms: -22 + 22 = 0 0 + -14x = 34 + 22 -14x = 34 + 22 Combine like terms: 34 + 22 = 56 -14x = 56 Divide each side by '-14'. x = -4 Simplifying x = -4
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