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Simplifying -7(1 + 2x) = -1x + -20 (1 * -7 + 2x * -7) = -1x + -20 (-7 + -14x) = -1x + -20 Reorder the terms: -7 + -14x = -20 + -1x Solving -7 + -14x = -20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -7 + -14x + x = -20 + -1x + x Combine like terms: -14x + x = -13x -7 + -13x = -20 + -1x + x Combine like terms: -1x + x = 0 -7 + -13x = -20 + 0 -7 + -13x = -20 Add '7' to each side of the equation. -7 + 7 + -13x = -20 + 7 Combine like terms: -7 + 7 = 0 0 + -13x = -20 + 7 -13x = -20 + 7 Combine like terms: -20 + 7 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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