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Simplifying 0.4(5x + -15) = 2.5(x + 3) Reorder the terms: 0.4(-15 + 5x) = 2.5(x + 3) (-15 * 0.4 + 5x * 0.4) = 2.5(x + 3) (-6 + 2x) = 2.5(x + 3) Reorder the terms: -6 + 2x = 2.5(3 + x) -6 + 2x = (3 * 2.5 + x * 2.5) -6 + 2x = (7.5 + 2.5x) Solving -6 + 2x = 7.5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -6 + 2x + -2.5x = 7.5 + 2.5x + -2.5x Combine like terms: 2x + -2.5x = -0.5x -6 + -0.5x = 7.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -6 + -0.5x = 7.5 + 0.0 -6 + -0.5x = 7.5 Add '6' to each side of the equation. -6 + 6 + -0.5x = 7.5 + 6 Combine like terms: -6 + 6 = 0 0 + -0.5x = 7.5 + 6 -0.5x = 7.5 + 6 Combine like terms: 7.5 + 6 = 13.5 -0.5x = 13.5 Divide each side by '-0.5'. x = -27 Simplifying x = -27
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