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Simplifying 5(5x + -2) = -1(-1x + 8) Reorder the terms: 5(-2 + 5x) = -1(-1x + 8) (-2 * 5 + 5x * 5) = -1(-1x + 8) (-10 + 25x) = -1(-1x + 8) Reorder the terms: -10 + 25x = -1(8 + -1x) -10 + 25x = (8 * -1 + -1x * -1) -10 + 25x = (-8 + 1x) Solving -10 + 25x = -8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 25x + -1x = -8 + 1x + -1x Combine like terms: 25x + -1x = 24x -10 + 24x = -8 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + 24x = -8 + 0 -10 + 24x = -8 Add '10' to each side of the equation. -10 + 10 + 24x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 24x = -8 + 10 24x = -8 + 10 Combine like terms: -8 + 10 = 2 24x = 2 Divide each side by '24'. x = 0.08333333333 Simplifying x = 0.08333333333
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