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Simplifying -21 + 8x = -1 + 2(7x + 2) Reorder the terms: -21 + 8x = -1 + 2(2 + 7x) -21 + 8x = -1 + (2 * 2 + 7x * 2) -21 + 8x = -1 + (4 + 14x) Combine like terms: -1 + 4 = 3 -21 + 8x = 3 + 14x Solving -21 + 8x = 3 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -21 + 8x + -14x = 3 + 14x + -14x Combine like terms: 8x + -14x = -6x -21 + -6x = 3 + 14x + -14x Combine like terms: 14x + -14x = 0 -21 + -6x = 3 + 0 -21 + -6x = 3 Add '21' to each side of the equation. -21 + 21 + -6x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + -6x = 3 + 21 -6x = 3 + 21 Combine like terms: 3 + 21 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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