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Simplifying 4(x + -2) = 22 + -2x Reorder the terms: 4(-2 + x) = 22 + -2x (-2 * 4 + x * 4) = 22 + -2x (-8 + 4x) = 22 + -2x Solving -8 + 4x = 22 + -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. -8 + 4x + 2x = 22 + -2x + 2x Combine like terms: 4x + 2x = 6x -8 + 6x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 6x = 22 + 0 -8 + 6x = 22 Add '8' to each side of the equation. -8 + 8 + 6x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 22 + 8 6x = 22 + 8 Combine like terms: 22 + 8 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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