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Simplifying 0.10(9) + x = 0.20(9 + x) Multiply 0.10 * 9 0.9 + x = 0.20(9 + x) 0.9 + x = (9 * 0.20 + x * 0.20) 0.9 + x = (1.8 + 0.20x) Solving 0.9 + x = 1.8 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. 0.9 + x + -0.20x = 1.8 + 0.20x + -0.20x Combine like terms: x + -0.20x = 0.8x 0.9 + 0.8x = 1.8 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 0.9 + 0.8x = 1.8 + 0.00 0.9 + 0.8x = 1.8 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.8x = 1.8 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.8x = 1.8 + -0.9 0.8x = 1.8 + -0.9 Combine like terms: 1.8 + -0.9 = 0.9 0.8x = 0.9 Divide each side by '0.8'. x = 1.125 Simplifying x = 1.125
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