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Simplifying -22 + 4x = -7(1 + -1x) -22 + 4x = (1 * -7 + -1x * -7) -22 + 4x = (-7 + 7x) Solving -22 + 4x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -22 + 4x + -7x = -7 + 7x + -7x Combine like terms: 4x + -7x = -3x -22 + -3x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -22 + -3x = -7 + 0 -22 + -3x = -7 Add '22' to each side of the equation. -22 + 22 + -3x = -7 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = -7 + 22 -3x = -7 + 22 Combine like terms: -7 + 22 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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