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Simplifying 9x + 22 = 2(3x + -4) Reorder the terms: 22 + 9x = 2(3x + -4) Reorder the terms: 22 + 9x = 2(-4 + 3x) 22 + 9x = (-4 * 2 + 3x * 2) 22 + 9x = (-8 + 6x) Solving 22 + 9x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 22 + 9x + -6x = -8 + 6x + -6x Combine like terms: 9x + -6x = 3x 22 + 3x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 22 + 3x = -8 + 0 22 + 3x = -8 Add '-22' to each side of the equation. 22 + -22 + 3x = -8 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = -8 + -22 3x = -8 + -22 Combine like terms: -8 + -22 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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