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Simplifying 9(x + -6) + -2(x + 5) = -2(x + -6) Reorder the terms: 9(-6 + x) + -2(x + 5) = -2(x + -6) (-6 * 9 + x * 9) + -2(x + 5) = -2(x + -6) (-54 + 9x) + -2(x + 5) = -2(x + -6) Reorder the terms: -54 + 9x + -2(5 + x) = -2(x + -6) -54 + 9x + (5 * -2 + x * -2) = -2(x + -6) -54 + 9x + (-10 + -2x) = -2(x + -6) Reorder the terms: -54 + -10 + 9x + -2x = -2(x + -6) Combine like terms: -54 + -10 = -64 -64 + 9x + -2x = -2(x + -6) Combine like terms: 9x + -2x = 7x -64 + 7x = -2(x + -6) Reorder the terms: -64 + 7x = -2(-6 + x) -64 + 7x = (-6 * -2 + x * -2) -64 + 7x = (12 + -2x) Solving -64 + 7x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -64 + 7x + 2x = 12 + -2x + 2x Combine like terms: 7x + 2x = 9x -64 + 9x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -64 + 9x = 12 + 0 -64 + 9x = 12 Add '64' to each side of the equation. -64 + 64 + 9x = 12 + 64 Combine like terms: -64 + 64 = 0 0 + 9x = 12 + 64 9x = 12 + 64 Combine like terms: 12 + 64 = 76 9x = 76 Divide each side by '9'. x = 8.444444444 Simplifying x = 8.444444444
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