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Simplifying -7(1 + 2x) = -7x + 35 (1 * -7 + 2x * -7) = -7x + 35 (-7 + -14x) = -7x + 35 Reorder the terms: -7 + -14x = 35 + -7x Solving -7 + -14x = 35 + -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 = 35 + -7x + 7x Combine like terms: -14x + 7x = -7x -7 + -7x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + -7x = 35 + 0 -7 + -7x = 35 Add '7' to each side of the equation. -7 + 7 + -7x = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = 35 + 7 -7x = 35 + 7 Combine like terms: 35 + 7 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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