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Simplifying 1x + 0.70(5 + x) = 0.90 1x + (5 * 0.70 + x * 0.70) = 0.90 1x + (3.5 + 0.70x) = 0.90 Reorder the terms: 3.5 + 1x + 0.70x = 0.90 Combine like terms: 1x + 0.70x = 1.7x 3.5 + 1.7x = 0.90 Solving 3.5 + 1.7x = 0.90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + 1.7x = 0.90 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 1.7x = 0.90 + -3.5 1.7x = 0.90 + -3.5 Combine like terms: 0.90 + -3.5 = -2.6 1.7x = -2.6 Divide each side by '1.7'. x = -1.529411765 Simplifying x = -1.529411765
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