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Simplifying -5(1 + -1x) + 8 = -2(-7x + -2) (1 * -5 + -1x * -5) + 8 = -2(-7x + -2) (-5 + 5x) + 8 = -2(-7x + -2) Reorder the terms: -5 + 8 + 5x = -2(-7x + -2) Combine like terms: -5 + 8 = 3 3 + 5x = -2(-7x + -2) Reorder the terms: 3 + 5x = -2(-2 + -7x) 3 + 5x = (-2 * -2 + -7x * -2) 3 + 5x = (4 + 14x) Solving 3 + 5x = 4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 3 + 5x + -14x = 4 + 14x + -14x Combine like terms: 5x + -14x = -9x 3 + -9x = 4 + 14x + -14x Combine like terms: 14x + -14x = 0 3 + -9x = 4 + 0 3 + -9x = 4 Add '-3' to each side of the equation. 3 + -3 + -9x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = 4 + -3 -9x = 4 + -3 Combine like terms: 4 + -3 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111
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