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Simplifying 0.7x + -1[0.1(100 + -1x)] = 22 0.7x + -1[(100 * 0.1 + -1x * 0.1)] = 22 0.7x + -1[(10 + -0.1x)] = 22 0.7x + [10 * -1 + -0.1x * -1] = 22 0.7x + [-10 + 0.1x] = 22 Reorder the terms: -10 + 0.7x + 0.1x = 22 Combine like terms: 0.7x + 0.1x = 0.8x -10 + 0.8x = 22 Solving -10 + 0.8x = 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 + 0.8x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 0.8x = 22 + 10 0.8x = 22 + 10 Combine like terms: 22 + 10 = 32 0.8x = 32 Divide each side by '0.8'. x = 40 Simplifying x = 40
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