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Simplifying -21 + -8x = -1x + -7(1 + 2x) -21 + -8x = -1x + (1 * -7 + 2x * -7) -21 + -8x = -1x + (-7 + -14x) Reorder the terms: -21 + -8x = -7 + -1x + -14x Combine like terms: -1x + -14x = -15x -21 + -8x = -7 + -15x Solving -21 + -8x = -7 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -21 + -8x + 15x = -7 + -15x + 15x Combine like terms: -8x + 15x = 7x -21 + 7x = -7 + -15x + 15x Combine like terms: -15x + 15x = 0 -21 + 7x = -7 + 0 -21 + 7x = -7 Add '21' to each side of the equation. -21 + 21 + 7x = -7 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = -7 + 21 7x = -7 + 21 Combine like terms: -7 + 21 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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