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Simplifying -9x + 22 = -4(x + 7) Reorder the terms: 22 + -9x = -4(x + 7) Reorder the terms: 22 + -9x = -4(7 + x) 22 + -9x = (7 * -4 + x * -4) 22 + -9x = (-28 + -4x) Solving 22 + -9x = -28 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 22 + -9x + 4x = -28 + -4x + 4x Combine like terms: -9x + 4x = -5x 22 + -5x = -28 + -4x + 4x Combine like terms: -4x + 4x = 0 22 + -5x = -28 + 0 22 + -5x = -28 Add '-22' to each side of the equation. 22 + -22 + -5x = -28 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = -28 + -22 -5x = -28 + -22 Combine like terms: -28 + -22 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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