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Simplifying -7(1 + 2x) = -7(8x + 1) (1 * -7 + 2x * -7) = -7(8x + 1) (-7 + -14x) = -7(8x + 1) Reorder the terms: -7 + -14x = -7(1 + 8x) -7 + -14x = (1 * -7 + 8x * -7) -7 + -14x = (-7 + -56x) Add '7' to each side of the equation. -7 + 7 + -14x = -7 + 7 + -56x Combine like terms: -7 + 7 = 0 0 + -14x = -7 + 7 + -56x -14x = -7 + 7 + -56x Combine like terms: -7 + 7 = 0 -14x = 0 + -56x -14x = -56x Solving -14x = -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -14x + 56x = -56x + 56x Combine like terms: -14x + 56x = 42x 42x = -56x + 56x Combine like terms: -56x + 56x = 0 42x = 0 Divide each side by '42'. x = 0 Simplifying x = 0
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