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Simplifying -7(1 + x) = 2x + 20 (1 * -7 + x * -7) = 2x + 20 (-7 + -7x) = 2x + 20 Reorder the terms: -7 + -7x = 20 + 2x Solving -7 + -7x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + -7x + -2x = 20 + 2x + -2x Combine like terms: -7x + -2x = -9x -7 + -9x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -9x = 20 + 0 -7 + -9x = 20 Add '7' to each side of the equation. -7 + 7 + -9x = 20 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 20 + 7 -9x = 20 + 7 Combine like terms: 20 + 7 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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