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Simplifying 7 + -5(2 + -1x) = -1(x + -8) 7 + (2 * -5 + -1x * -5) = -1(x + -8) 7 + (-10 + 5x) = -1(x + -8) Combine like terms: 7 + -10 = -3 -3 + 5x = -1(x + -8) Reorder the terms: -3 + 5x = -1(-8 + x) -3 + 5x = (-8 * -1 + x * -1) -3 + 5x = (8 + -1x) Solving -3 + 5x = 8 + -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. -3 + 5x + x = 8 + -1x + x Combine like terms: 5x + x = 6x -3 + 6x = 8 + -1x + x Combine like terms: -1x + x = 0 -3 + 6x = 8 + 0 -3 + 6x = 8 Add '3' to each side of the equation. -3 + 3 + 6x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 8 + 3 6x = 8 + 3 Combine like terms: 8 + 3 = 11 6x = 11 Divide each side by '6'. x = 1.833333333 Simplifying x = 1.833333333
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