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Simplifying 2(11 + -3x) = 9x + 10 + -3 (11 * 2 + -3x * 2) = 9x + 10 + -3 (22 + -6x) = 9x + 10 + -3 Reorder the terms: 22 + -6x = 10 + -3 + 9x Combine like terms: 10 + -3 = 7 22 + -6x = 7 + 9x Solving 22 + -6x = 7 + 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 + -6x + -9x = 7 + 9x + -9x Combine like terms: -6x + -9x = -15x 22 + -15x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + -15x = 7 + 0 22 + -15x = 7 Add '-22' to each side of the equation. 22 + -22 + -15x = 7 + -22 Combine like terms: 22 + -22 = 0 0 + -15x = 7 + -22 -15x = 7 + -22 Combine like terms: 7 + -22 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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