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Simplifying 0.2x + 0.6(30 + -1x) = 8.4 0.2x + (30 * 0.6 + -1x * 0.6) = 8.4 0.2x + (18 + -0.6x) = 8.4 Reorder the terms: 18 + 0.2x + -0.6x = 8.4 Combine like terms: 0.2x + -0.6x = -0.4x 18 + -0.4x = 8.4 Solving 18 + -0.4x = 8.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -0.4x = 8.4 + -18 Combine like terms: 18 + -18 = 0 0 + -0.4x = 8.4 + -18 -0.4x = 8.4 + -18 Combine like terms: 8.4 + -18 = -9.6 -0.4x = -9.6 Divide each side by '-0.4'. x = 24 Simplifying x = 24
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