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Simplifying 2(11 + 5x) = 7 + 3(3x + -1) (11 * 2 + 5x * 2) = 7 + 3(3x + -1) (22 + 10x) = 7 + 3(3x + -1) Reorder the terms: 22 + 10x = 7 + 3(-1 + 3x) 22 + 10x = 7 + (-1 * 3 + 3x * 3) 22 + 10x = 7 + (-3 + 9x) Combine like terms: 7 + -3 = 4 22 + 10x = 4 + 9x Solving 22 + 10x = 4 + 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 + 10x + -9x = 4 + 9x + -9x Combine like terms: 10x + -9x = 1x 22 + 1x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 22 + 1x = 4 + 0 22 + 1x = 4 Add '-22' to each side of the equation. 22 + -22 + 1x = 4 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 4 + -22 1x = 4 + -22 Combine like terms: 4 + -22 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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