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Simplifying 8(2x + -5) + -6(3x + 7) = 0 Reorder the terms: 8(-5 + 2x) + -6(3x + 7) = 0 (-5 * 8 + 2x * 8) + -6(3x + 7) = 0 (-40 + 16x) + -6(3x + 7) = 0 Reorder the terms: -40 + 16x + -6(7 + 3x) = 0 -40 + 16x + (7 * -6 + 3x * -6) = 0 -40 + 16x + (-42 + -18x) = 0 Reorder the terms: -40 + -42 + 16x + -18x = 0 Combine like terms: -40 + -42 = -82 -82 + 16x + -18x = 0 Combine like terms: 16x + -18x = -2x -82 + -2x = 0 Solving -82 + -2x = 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 + -2x = 0 + 82 Combine like terms: -82 + 82 = 0 0 + -2x = 0 + 82 -2x = 0 + 82 Combine like terms: 0 + 82 = 82 -2x = 82 Divide each side by '-2'. x = -41 Simplifying x = -41
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