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Simplifying 0.30x + (0.20)(12 + -1x) = (0.25)(12) 0.30x + (12 * 0.20 + -1x * 0.20) = (0.25)(12) 0.30x + (2.4 + -0.2x) = (0.25)(12) Reorder the terms: 2.4 + 0.30x + -0.2x = (0.25)(12) Combine like terms: 0.30x + -0.2x = 0.1x 2.4 + 0.1x = (0.25)(12) Multiply 0.25 * 12 2.4 + 0.1x = 3 Solving 2.4 + 0.1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.1x = 3 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.1x = 3 + -2.4 0.1x = 3 + -2.4 Combine like terms: 3 + -2.4 = 0.6 0.1x = 0.6 Divide each side by '0.1'. x = 6 Simplifying x = 6
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