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Simplifying 22 + -5x + 9x = -2(-6x + 5) Combine like terms: -5x + 9x = 4x 22 + 4x = -2(-6x + 5) Reorder the terms: 22 + 4x = -2(5 + -6x) 22 + 4x = (5 * -2 + -6x * -2) 22 + 4x = (-10 + 12x) Solving 22 + 4x = -10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 22 + 4x + -12x = -10 + 12x + -12x Combine like terms: 4x + -12x = -8x 22 + -8x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 22 + -8x = -10 + 0 22 + -8x = -10 Add '-22' to each side of the equation. 22 + -22 + -8x = -10 + -22 Combine like terms: 22 + -22 = 0 0 + -8x = -10 + -22 -8x = -10 + -22 Combine like terms: -10 + -22 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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