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Simplifying 6(-3x + -7) + -5(4y + 8) = 9 Reorder the terms: 6(-7 + -3x) + -5(4y + 8) = 9 (-7 * 6 + -3x * 6) + -5(4y + 8) = 9 (-42 + -18x) + -5(4y + 8) = 9 Reorder the terms: -42 + -18x + -5(8 + 4y) = 9 -42 + -18x + (8 * -5 + 4y * -5) = 9 -42 + -18x + (-40 + -20y) = 9 Reorder the terms: -42 + -40 + -18x + -20y = 9 Combine like terms: -42 + -40 = -82 -82 + -18x + -20y = 9 Solving -82 + -18x + -20y = 9 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 + -18x + 82 + -20y = 9 + 82 Reorder the terms: -82 + 82 + -18x + -20y = 9 + 82 Combine like terms: -82 + 82 = 0 0 + -18x + -20y = 9 + 82 -18x + -20y = 9 + 82 Combine like terms: 9 + 82 = 91 -18x + -20y = 91 Add '20y' to each side of the equation. -18x + -20y + 20y = 91 + 20y Combine like terms: -20y + 20y = 0 -18x + 0 = 91 + 20y -18x = 91 + 20y Divide each side by '-18'. x = -5.055555556 + -1.111111111y Simplifying x = -5.055555556 + -1.111111111y
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