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Simplifying 0.5x + 0.9(30 + -1x) = 24.6 0.5x + (30 * 0.9 + -1x * 0.9) = 24.6 0.5x + (27 + -0.9x) = 24.6 Reorder the terms: 27 + 0.5x + -0.9x = 24.6 Combine like terms: 0.5x + -0.9x = -0.4x 27 + -0.4x = 24.6 Solving 27 + -0.4x = 24.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -0.4x = 24.6 + -27 Combine like terms: 27 + -27 = 0 0 + -0.4x = 24.6 + -27 -0.4x = 24.6 + -27 Combine like terms: 24.6 + -27 = -2.4 -0.4x = -2.4 Divide each side by '-0.4'. x = 6 Simplifying x = 6
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