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Simplifying 5 + 9(x + -4) = 10 + -8(X + -2) Reorder the terms: 5 + 9(-4 + x) = 10 + -8(X + -2) 5 + (-4 * 9 + x * 9) = 10 + -8(X + -2) 5 + (-36 + 9x) = 10 + -8(X + -2) Combine like terms: 5 + -36 = -31 -31 + 9x = 10 + -8(X + -2) Reorder the terms: -31 + 9x = 10 + -8(-2 + X) -31 + 9x = 10 + (-2 * -8 + X * -8) -31 + 9x = 10 + (16 + -8X) Combine like terms: 10 + 16 = 26 -31 + 9x = 26 + -8X Solving -31 + 9x = 26 + -8X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 9x = 26 + 31 + -8X Combine like terms: -31 + 31 = 0 0 + 9x = 26 + 31 + -8X 9x = 26 + 31 + -8X Combine like terms: 26 + 31 = 57 9x = 57 + -8X Divide each side by '9'. x = 6.333333333 + -0.8888888889X Simplifying x = 6.333333333 + -0.8888888889X
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