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Simplifying 9(x + -2) = 11(x + 5) Reorder the terms: 9(-2 + x) = 11(x + 5) (-2 * 9 + x * 9) = 11(x + 5) (-18 + 9x) = 11(x + 5) Reorder the terms: -18 + 9x = 11(5 + x) -18 + 9x = (5 * 11 + x * 11) -18 + 9x = (55 + 11x) Solving -18 + 9x = 55 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -18 + 9x + -11x = 55 + 11x + -11x Combine like terms: 9x + -11x = -2x -18 + -2x = 55 + 11x + -11x Combine like terms: 11x + -11x = 0 -18 + -2x = 55 + 0 -18 + -2x = 55 Add '18' to each side of the equation. -18 + 18 + -2x = 55 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = 55 + 18 -2x = 55 + 18 Combine like terms: 55 + 18 = 73 -2x = 73 Divide each side by '-2'. x = -36.5 Simplifying x = -36.5
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