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Simplifying 0.5(12 + x) = 0.6(5x + -15) (12 * 0.5 + x * 0.5) = 0.6(5x + -15) (6 + 0.5x) = 0.6(5x + -15) Reorder the terms: 6 + 0.5x = 0.6(-15 + 5x) 6 + 0.5x = (-15 * 0.6 + 5x * 0.6) 6 + 0.5x = (-9 + 3x) Solving 6 + 0.5x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 0.5x + -3x = -9 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 6 + -2.5x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -2.5x = -9 + 0 6 + -2.5x = -9 Add '-6' to each side of the equation. 6 + -6 + -2.5x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -2.5x = -9 + -6 -2.5x = -9 + -6 Combine like terms: -9 + -6 = -15 -2.5x = -15 Divide each side by '-2.5'. x = 6 Simplifying x = 6
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