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Simplifying 3x + -2(2x + 2) = 4x + 21 Reorder the terms: 3x + -2(2 + 2x) = 4x + 21 3x + (2 * -2 + 2x * -2) = 4x + 21 3x + (-4 + -4x) = 4x + 21 Reorder the terms: -4 + 3x + -4x = 4x + 21 Combine like terms: 3x + -4x = -1x -4 + -1x = 4x + 21 Reorder the terms: -4 + -1x = 21 + 4x Solving -4 + -1x = 21 + 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. -4 + -1x + -4x = 21 + 4x + -4x Combine like terms: -1x + -4x = -5x -4 + -5x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -5x = 21 + 0 -4 + -5x = 21 Add '4' to each side of the equation. -4 + 4 + -5x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 21 + 4 -5x = 21 + 4 Combine like terms: 21 + 4 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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