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Simplifying 0.2(6x + -15) = 0.5(10x + -4) Reorder the terms: 0.2(-15 + 6x) = 0.5(10x + -4) (-15 * 0.2 + 6x * 0.2) = 0.5(10x + -4) (-3 + 1.2x) = 0.5(10x + -4) Reorder the terms: -3 + 1.2x = 0.5(-4 + 10x) -3 + 1.2x = (-4 * 0.5 + 10x * 0.5) -3 + 1.2x = (-2 + 5x) Solving -3 + 1.2x = -2 + 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. -3 + 1.2x + -5x = -2 + 5x + -5x Combine like terms: 1.2x + -5x = -3.8x -3 + -3.8x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -3.8x = -2 + 0 -3 + -3.8x = -2 Add '3' to each side of the equation. -3 + 3 + -3.8x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -3.8x = -2 + 3 -3.8x = -2 + 3 Combine like terms: -2 + 3 = 1 -3.8x = 1 Divide each side by '-3.8'. x = -0.2631578947 Simplifying x = -0.2631578947
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