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