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Simplifying 0.11 = x + (0.1 + -1x) * 1.5 Reorder the terms for easier multiplication: 0.11 = x + 1.5(0.1 + -1x) 0.11 = x + (0.1 * 1.5 + -1x * 1.5) 0.11 = x + (0.15 + -1.5x) Reorder the terms: 0.11 = 0.15 + x + -1.5x Combine like terms: x + -1.5x = -0.5x 0.11 = 0.15 + -0.5x Solving 0.11 = 0.15 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 0.11 + 0.5x = 0.15 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 0.11 + 0.5x = 0.15 + 0.0 0.11 + 0.5x = 0.15 Add '-0.11' to each side of the equation. 0.11 + -0.11 + 0.5x = 0.15 + -0.11 Combine like terms: 0.11 + -0.11 = 0.00 0.00 + 0.5x = 0.15 + -0.11 0.5x = 0.15 + -0.11 Combine like terms: 0.15 + -0.11 = 0.04 0.5x = 0.04 Divide each side by '0.5'. x = 0.08 Simplifying x = 0.08
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