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Simplifying -21 = -4(7 + -2x) + 7(1 + 2x) -21 = (7 * -4 + -2x * -4) + 7(1 + 2x) -21 = (-28 + 8x) + 7(1 + 2x) -21 = -28 + 8x + (1 * 7 + 2x * 7) -21 = -28 + 8x + (7 + 14x) Reorder the terms: -21 = -28 + 7 + 8x + 14x Combine like terms: -28 + 7 = -21 -21 = -21 + 8x + 14x Combine like terms: 8x + 14x = 22x -21 = -21 + 22x Add '21' to each side of the equation. -21 + 21 = -21 + 21 + 22x Combine like terms: -21 + 21 = 0 0 = -21 + 21 + 22x Combine like terms: -21 + 21 = 0 0 = 0 + 22x 0 = 22x Solving 0 = 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 0 + -22x = 22x + -22x Remove the zero: -22x = 22x + -22x Combine like terms: 22x + -22x = 0 -22x = 0 Divide each side by '-22'. x = 0 Simplifying x = 0
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