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Simplifying 22 + -5x + 9x = -2(-5x + 1) Combine like terms: -5x + 9x = 4x 22 + 4x = -2(-5x + 1) Reorder the terms: 22 + 4x = -2(1 + -5x) 22 + 4x = (1 * -2 + -5x * -2) 22 + 4x = (-2 + 10x) Solving 22 + 4x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 22 + 4x + -10x = -2 + 10x + -10x Combine like terms: 4x + -10x = -6x 22 + -6x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + -6x = -2 + 0 22 + -6x = -2 Add '-22' to each side of the equation. 22 + -22 + -6x = -2 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = -2 + -22 -6x = -2 + -22 Combine like terms: -2 + -22 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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