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Simplifying 0.6(5x + -15) = 0.2(10x + -25) Reorder the terms: 0.6(-15 + 5x) = 0.2(10x + -25) (-15 * 0.6 + 5x * 0.6) = 0.2(10x + -25) (-9 + 3x) = 0.2(10x + -25) Reorder the terms: -9 + 3x = 0.2(-25 + 10x) -9 + 3x = (-25 * 0.2 + 10x * 0.2) -9 + 3x = (-5 + 2x) Solving -9 + 3x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 3x + -2x = -5 + 2x + -2x Combine like terms: 3x + -2x = 1x -9 + 1x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 1x = -5 + 0 -9 + 1x = -5 Add '9' to each side of the equation. -9 + 9 + 1x = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -5 + 9 1x = -5 + 9 Combine like terms: -5 + 9 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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