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Simplifying 7(1 + -2x) = -2 + -5x (1 * 7 + -2x * 7) = -2 + -5x (7 + -14x) = -2 + -5x Solving 7 + -14x = -2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + -14x + 5x = -2 + -5x + 5x Combine like terms: -14x + 5x = -9x 7 + -9x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + -9x = -2 + 0 7 + -9x = -2 Add '-7' to each side of the equation. 7 + -7 + -9x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = -2 + -7 -9x = -2 + -7 Combine like terms: -2 + -7 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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