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Simplifying 5 + 9(x + -6) = 10 + -9(x + -6) Reorder the terms: 5 + 9(-6 + x) = 10 + -9(x + -6) 5 + (-6 * 9 + x * 9) = 10 + -9(x + -6) 5 + (-54 + 9x) = 10 + -9(x + -6) Combine like terms: 5 + -54 = -49 -49 + 9x = 10 + -9(x + -6) Reorder the terms: -49 + 9x = 10 + -9(-6 + x) -49 + 9x = 10 + (-6 * -9 + x * -9) -49 + 9x = 10 + (54 + -9x) Combine like terms: 10 + 54 = 64 -49 + 9x = 64 + -9x Solving -49 + 9x = 64 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -49 + 9x + 9x = 64 + -9x + 9x Combine like terms: 9x + 9x = 18x -49 + 18x = 64 + -9x + 9x Combine like terms: -9x + 9x = 0 -49 + 18x = 64 + 0 -49 + 18x = 64 Add '49' to each side of the equation. -49 + 49 + 18x = 64 + 49 Combine like terms: -49 + 49 = 0 0 + 18x = 64 + 49 18x = 64 + 49 Combine like terms: 64 + 49 = 113 18x = 113 Divide each side by '18'. x = 6.277777778 Simplifying x = 6.277777778
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