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Simplifying 4(1 + 5x) + 2x = -21 + -3x (1 * 4 + 5x * 4) + 2x = -21 + -3x (4 + 20x) + 2x = -21 + -3x Combine like terms: 20x + 2x = 22x 4 + 22x = -21 + -3x Solving 4 + 22x = -21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + 22x + 3x = -21 + -3x + 3x Combine like terms: 22x + 3x = 25x 4 + 25x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 25x = -21 + 0 4 + 25x = -21 Add '-4' to each side of the equation. 4 + -4 + 25x = -21 + -4 Combine like terms: 4 + -4 = 0 0 + 25x = -21 + -4 25x = -21 + -4 Combine like terms: -21 + -4 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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