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Simplifying 2(x + 11) = 9(x + -3) Reorder the terms: 2(11 + x) = 9(x + -3) (11 * 2 + x * 2) = 9(x + -3) (22 + 2x) = 9(x + -3) Reorder the terms: 22 + 2x = 9(-3 + x) 22 + 2x = (-3 * 9 + x * 9) 22 + 2x = (-27 + 9x) Solving 22 + 2x = -27 + 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. 22 + 2x + -9x = -27 + 9x + -9x Combine like terms: 2x + -9x = -7x 22 + -7x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + -7x = -27 + 0 22 + -7x = -27 Add '-22' to each side of the equation. 22 + -22 + -7x = -27 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = -27 + -22 -7x = -27 + -22 Combine like terms: -27 + -22 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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