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Simplifying 0.7x + [0.1(100 + -1x)] = 22 0.7x + [(100 * 0.1 + -1x * 0.1)] = 22 0.7x + [(10 + -0.1x)] = 22 0.7x + [10 + -0.1x] = 22 Remove brackets around [10 + -0.1x] 0.7x + 10 + -0.1x = 22 Reorder the terms: 10 + 0.7x + -0.1x = 22 Combine like terms: 0.7x + -0.1x = 0.6x 10 + 0.6x = 22 Solving 10 + 0.6x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 0.6x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 0.6x = 22 + -10 0.6x = 22 + -10 Combine like terms: 22 + -10 = 12 0.6x = 12 Divide each side by '0.6'. x = 20 Simplifying x = 20
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