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Simplifying 0.7(x + 100) + 0.5x = 106 Reorder the terms: 0.7(100 + x) + 0.5x = 106 (100 * 0.7 + x * 0.7) + 0.5x = 106 (70 + 0.7x) + 0.5x = 106 Combine like terms: 0.7x + 0.5x = 1.2x 70 + 1.2x = 106 Solving 70 + 1.2x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 1.2x = 106 + -70 Combine like terms: 70 + -70 = 0 0 + 1.2x = 106 + -70 1.2x = 106 + -70 Combine like terms: 106 + -70 = 36 1.2x = 36 Divide each side by '1.2'. x = 30 Simplifying x = 30
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