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Simplifying 6(x + -7) + -8(5 + 6x) = 2 Reorder the terms: 6(-7 + x) + -8(5 + 6x) = 2 (-7 * 6 + x * 6) + -8(5 + 6x) = 2 (-42 + 6x) + -8(5 + 6x) = 2 -42 + 6x + (5 * -8 + 6x * -8) = 2 -42 + 6x + (-40 + -48x) = 2 Reorder the terms: -42 + -40 + 6x + -48x = 2 Combine like terms: -42 + -40 = -82 -82 + 6x + -48x = 2 Combine like terms: 6x + -48x = -42x -82 + -42x = 2 Solving -82 + -42x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '82' to each side of the equation. -82 + 82 + -42x = 2 + 82 Combine like terms: -82 + 82 = 0 0 + -42x = 2 + 82 -42x = 2 + 82 Combine like terms: 2 + 82 = 84 -42x = 84 Divide each side by '-42'. x = -2 Simplifying x = -2
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