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Simplifying 9 + 3(x + -6) = 10 + -8(x + -5) Reorder the terms: 9 + 3(-6 + x) = 10 + -8(x + -5) 9 + (-6 * 3 + x * 3) = 10 + -8(x + -5) 9 + (-18 + 3x) = 10 + -8(x + -5) Combine like terms: 9 + -18 = -9 -9 + 3x = 10 + -8(x + -5) Reorder the terms: -9 + 3x = 10 + -8(-5 + x) -9 + 3x = 10 + (-5 * -8 + x * -8) -9 + 3x = 10 + (40 + -8x) Combine like terms: 10 + 40 = 50 -9 + 3x = 50 + -8x Solving -9 + 3x = 50 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9 + 3x + 8x = 50 + -8x + 8x Combine like terms: 3x + 8x = 11x -9 + 11x = 50 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 11x = 50 + 0 -9 + 11x = 50 Add '9' to each side of the equation. -9 + 9 + 11x = 50 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 50 + 9 11x = 50 + 9 Combine like terms: 50 + 9 = 59 11x = 59 Divide each side by '11'. x = 5.363636364 Simplifying x = 5.363636364
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