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Simplifying 4 + 9(x + -6) = 11 + -9(x + -6) Reorder the terms: 4 + 9(-6 + x) = 11 + -9(x + -6) 4 + (-6 * 9 + x * 9) = 11 + -9(x + -6) 4 + (-54 + 9x) = 11 + -9(x + -6) Combine like terms: 4 + -54 = -50 -50 + 9x = 11 + -9(x + -6) Reorder the terms: -50 + 9x = 11 + -9(-6 + x) -50 + 9x = 11 + (-6 * -9 + x * -9) -50 + 9x = 11 + (54 + -9x) Combine like terms: 11 + 54 = 65 -50 + 9x = 65 + -9x Solving -50 + 9x = 65 + -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. -50 + 9x + 9x = 65 + -9x + 9x Combine like terms: 9x + 9x = 18x -50 + 18x = 65 + -9x + 9x Combine like terms: -9x + 9x = 0 -50 + 18x = 65 + 0 -50 + 18x = 65 Add '50' to each side of the equation. -50 + 50 + 18x = 65 + 50 Combine like terms: -50 + 50 = 0 0 + 18x = 65 + 50 18x = 65 + 50 Combine like terms: 65 + 50 = 115 18x = 115 Divide each side by '18'. x = 6.388888889 Simplifying x = 6.388888889
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