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Simplifying 7(1 + -1x) + -6(2 + -1x) = 8 (1 * 7 + -1x * 7) + -6(2 + -1x) = 8 (7 + -7x) + -6(2 + -1x) = 8 7 + -7x + (2 * -6 + -1x * -6) = 8 7 + -7x + (-12 + 6x) = 8 Reorder the terms: 7 + -12 + -7x + 6x = 8 Combine like terms: 7 + -12 = -5 -5 + -7x + 6x = 8 Combine like terms: -7x + 6x = -1x -5 + -1x = 8 Solving -5 + -1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 8 + 5 -1x = 8 + 5 Combine like terms: 8 + 5 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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