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Simplifying 0.40x + 0.70(12 + -1x) = 0.50(12) 0.40x + (12 * 0.70 + -1x * 0.70) = 0.50(12) 0.40x + (8.4 + -0.7x) = 0.50(12) Reorder the terms: 8.4 + 0.40x + -0.7x = 0.50(12) Combine like terms: 0.40x + -0.7x = -0.3x 8.4 + -0.3x = 0.50(12) Multiply 0.50 * 12 8.4 + -0.3x = 6 Solving 8.4 + -0.3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.4' to each side of the equation. 8.4 + -8.4 + -0.3x = 6 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -0.3x = 6 + -8.4 -0.3x = 6 + -8.4 Combine like terms: 6 + -8.4 = -2.4 -0.3x = -2.4 Divide each side by '-0.3'. x = 8 Simplifying x = 8
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