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Simplifying -1(5x + 2) = 8x + -5(1 + -1x) Reorder the terms: -1(2 + 5x) = 8x + -5(1 + -1x) (2 * -1 + 5x * -1) = 8x + -5(1 + -1x) (-2 + -5x) = 8x + -5(1 + -1x) -2 + -5x = 8x + (1 * -5 + -1x * -5) -2 + -5x = 8x + (-5 + 5x) Reorder the terms: -2 + -5x = -5 + 8x + 5x Combine like terms: 8x + 5x = 13x -2 + -5x = -5 + 13x Solving -2 + -5x = -5 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -2 + -5x + -13x = -5 + 13x + -13x Combine like terms: -5x + -13x = -18x -2 + -18x = -5 + 13x + -13x Combine like terms: 13x + -13x = 0 -2 + -18x = -5 + 0 -2 + -18x = -5 Add '2' to each side of the equation. -2 + 2 + -18x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -18x = -5 + 2 -18x = -5 + 2 Combine like terms: -5 + 2 = -3 -18x = -3 Divide each side by '-18'. x = 0.1666666667 Simplifying x = 0.1666666667
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