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Simplifying 2x + 7(100 + -1x) = (0.5) * 100 2x + (100 * 7 + -1x * 7) = (0.5) * 100 2x + (700 + -7x) = (0.5) * 100 Reorder the terms: 700 + 2x + -7x = (0.5) * 100 Combine like terms: 2x + -7x = -5x 700 + -5x = (0.5) * 100 Multiply 0.5 * 100 700 + -5x = 50 Solving 700 + -5x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-700' to each side of the equation. 700 + -700 + -5x = 50 + -700 Combine like terms: 700 + -700 = 0 0 + -5x = 50 + -700 -5x = 50 + -700 Combine like terms: 50 + -700 = -650 -5x = -650 Divide each side by '-5'. x = 130 Simplifying x = 130
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