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Simplifying 7(x + -6) + 8(x + -5) = 0 Reorder the terms: 7(-6 + x) + 8(x + -5) = 0 (-6 * 7 + x * 7) + 8(x + -5) = 0 (-42 + 7x) + 8(x + -5) = 0 Reorder the terms: -42 + 7x + 8(-5 + x) = 0 -42 + 7x + (-5 * 8 + x * 8) = 0 -42 + 7x + (-40 + 8x) = 0 Reorder the terms: -42 + -40 + 7x + 8x = 0 Combine like terms: -42 + -40 = -82 -82 + 7x + 8x = 0 Combine like terms: 7x + 8x = 15x -82 + 15x = 0 Solving -82 + 15x = 0 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 + 15x = 0 + 82 Combine like terms: -82 + 82 = 0 0 + 15x = 0 + 82 15x = 0 + 82 Combine like terms: 0 + 82 = 82 15x = 82 Divide each side by '15'. x = 5.466666667 Simplifying x = 5.466666667
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