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Simplifying 22 = 3(3 + -2x) + 5(x + -1) 22 = (3 * 3 + -2x * 3) + 5(x + -1) 22 = (9 + -6x) + 5(x + -1) Reorder the terms: 22 = 9 + -6x + 5(-1 + x) 22 = 9 + -6x + (-1 * 5 + x * 5) 22 = 9 + -6x + (-5 + 5x) Reorder the terms: 22 = 9 + -5 + -6x + 5x Combine like terms: 9 + -5 = 4 22 = 4 + -6x + 5x Combine like terms: -6x + 5x = -1x 22 = 4 + -1x Solving 22 = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 22 + x = 4 + -1x + x Combine like terms: -1x + x = 0 22 + x = 4 + 0 22 + x = 4 Add '-22' to each side of the equation. 22 + -22 + x = 4 + -22 Combine like terms: 22 + -22 = 0 0 + x = 4 + -22 x = 4 + -22 Combine like terms: 4 + -22 = -18 x = -18 Simplifying x = -18
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