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Simplifying 0.5(6x + -10) = 0.2(25x + -15) Reorder the terms: 0.5(-10 + 6x) = 0.2(25x + -15) (-10 * 0.5 + 6x * 0.5) = 0.2(25x + -15) (-5 + 3x) = 0.2(25x + -15) Reorder the terms: -5 + 3x = 0.2(-15 + 25x) -5 + 3x = (-15 * 0.2 + 25x * 0.2) -5 + 3x = (-3 + 5x) Solving -5 + 3x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 3x + -5x = -3 + 5x + -5x Combine like terms: 3x + -5x = -2x -5 + -2x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -2x = -3 + 0 -5 + -2x = -3 Add '5' to each side of the equation. -5 + 5 + -2x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -3 + 5 -2x = -3 + 5 Combine like terms: -3 + 5 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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