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Simplifying 100(0.1x + 0.1) + 9x + 9 = 0 Reorder the terms: 100(0.1 + 0.1x) + 9x + 9 = 0 (0.1 * 100 + 0.1x * 100) + 9x + 9 = 0 (10 + 10x) + 9x + 9 = 0 Reorder the terms: 10 + 9 + 10x + 9x = 0 Combine like terms: 10 + 9 = 19 19 + 10x + 9x = 0 Combine like terms: 10x + 9x = 19x 19 + 19x = 0 Solving 19 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 19x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 19x = 0 + -19 19x = 0 + -19 Combine like terms: 0 + -19 = -19 19x = -19 Divide each side by '19'. x = -1 Simplifying x = -1
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