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Simplifying -0.5(6x + 2) + 0.2(25x + 10) = 0 Reorder the terms: -0.5(2 + 6x) + 0.2(25x + 10) = 0 (2 * -0.5 + 6x * -0.5) + 0.2(25x + 10) = 0 (-1 + -3x) + 0.2(25x + 10) = 0 Reorder the terms: -1 + -3x + 0.2(10 + 25x) = 0 -1 + -3x + (10 * 0.2 + 25x * 0.2) = 0 -1 + -3x + (2 + 5x) = 0 Reorder the terms: -1 + 2 + -3x + 5x = 0 Combine like terms: -1 + 2 = 1 1 + -3x + 5x = 0 Combine like terms: -3x + 5x = 2x 1 + 2x = 0 Solving 1 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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