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Simplifying 0.7(x + 30) + 0.4x = 8.5 Reorder the terms: 0.7(30 + x) + 0.4x = 8.5 (30 * 0.7 + x * 0.7) + 0.4x = 8.5 (21 + 0.7x) + 0.4x = 8.5 Combine like terms: 0.7x + 0.4x = 1.1x 21 + 1.1x = 8.5 Solving 21 + 1.1x = 8.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 1.1x = 8.5 + -21 Combine like terms: 21 + -21 = 0 0 + 1.1x = 8.5 + -21 1.1x = 8.5 + -21 Combine like terms: 8.5 + -21 = -12.5 1.1x = -12.5 Divide each side by '1.1'. x = -11.36363636 Simplifying x = -11.36363636
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