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Simplifying 2x + 2(x + -1) = 3x + -22 + 2x Reorder the terms: 2x + 2(-1 + x) = 3x + -22 + 2x 2x + (-1 * 2 + x * 2) = 3x + -22 + 2x 2x + (-2 + 2x) = 3x + -22 + 2x Reorder the terms: -2 + 2x + 2x = 3x + -22 + 2x Combine like terms: 2x + 2x = 4x -2 + 4x = 3x + -22 + 2x Reorder the terms: -2 + 4x = -22 + 3x + 2x Combine like terms: 3x + 2x = 5x -2 + 4x = -22 + 5x Solving -2 + 4x = -22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 4x + -5x = -22 + 5x + -5x Combine like terms: 4x + -5x = -1x -2 + -1x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -1x = -22 + 0 -2 + -1x = -22 Add '2' to each side of the equation. -2 + 2 + -1x = -22 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -22 + 2 -1x = -22 + 2 Combine like terms: -22 + 2 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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