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Simplifying 9(x + -3) = 2(x + 11) Reorder the terms: 9(-3 + x) = 2(x + 11) (-3 * 9 + x * 9) = 2(x + 11) (-27 + 9x) = 2(x + 11) Reorder the terms: -27 + 9x = 2(11 + x) -27 + 9x = (11 * 2 + x * 2) -27 + 9x = (22 + 2x) Solving -27 + 9x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -27 + 9x + -2x = 22 + 2x + -2x Combine like terms: 9x + -2x = 7x -27 + 7x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 7x = 22 + 0 -27 + 7x = 22 Add '27' to each side of the equation. -27 + 27 + 7x = 22 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 22 + 27 7x = 22 + 27 Combine like terms: 22 + 27 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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