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Simplifying 22 + -7x + 11x = -2(-5x + 7) Combine like terms: -7x + 11x = 4x 22 + 4x = -2(-5x + 7) Reorder the terms: 22 + 4x = -2(7 + -5x) 22 + 4x = (7 * -2 + -5x * -2) 22 + 4x = (-14 + 10x) Solving 22 + 4x = -14 + 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 = -14 + 10x + -10x Combine like terms: 4x + -10x = -6x 22 + -6x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + -6x = -14 + 0 22 + -6x = -14 Add '-22' to each side of the equation. 22 + -22 + -6x = -14 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = -14 + -22 -6x = -14 + -22 Combine like terms: -14 + -22 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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