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Simplifying -0.32(0.5x + -10.3) = 0.6x + 9.63 Reorder the terms: -0.32(-10.3 + 0.5x) = 0.6x + 9.63 (-10.3 * -0.32 + 0.5x * -0.32) = 0.6x + 9.63 (3.296 + -0.16x) = 0.6x + 9.63 Reorder the terms: 3.296 + -0.16x = 9.63 + 0.6x Solving 3.296 + -0.16x = 9.63 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 3.296 + -0.16x + -0.6x = 9.63 + 0.6x + -0.6x Combine like terms: -0.16x + -0.6x = -0.76x 3.296 + -0.76x = 9.63 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 3.296 + -0.76x = 9.63 + 0.0 3.296 + -0.76x = 9.63 Add '-3.296' to each side of the equation. 3.296 + -3.296 + -0.76x = 9.63 + -3.296 Combine like terms: 3.296 + -3.296 = 0.000 0.000 + -0.76x = 9.63 + -3.296 -0.76x = 9.63 + -3.296 Combine like terms: 9.63 + -3.296 = 6.334 -0.76x = 6.334 Divide each side by '-0.76'. x = -8.334210526 Simplifying x = -8.334210526
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