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Simplifying -22 + 2x = 4x + -6(x + 5) Reorder the terms: -22 + 2x = 4x + -6(5 + x) -22 + 2x = 4x + (5 * -6 + x * -6) -22 + 2x = 4x + (-30 + -6x) Reorder the terms: -22 + 2x = -30 + 4x + -6x Combine like terms: 4x + -6x = -2x -22 + 2x = -30 + -2x Solving -22 + 2x = -30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -22 + 2x + 2x = -30 + -2x + 2x Combine like terms: 2x + 2x = 4x -22 + 4x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 -22 + 4x = -30 + 0 -22 + 4x = -30 Add '22' to each side of the equation. -22 + 22 + 4x = -30 + 22 Combine like terms: -22 + 22 = 0 0 + 4x = -30 + 22 4x = -30 + 22 Combine like terms: -30 + 22 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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