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Simplifying 0.11(x + 0.11) = 0.16(x + -0.11) Reorder the terms: 0.11(0.11 + x) = 0.16(x + -0.11) (0.11 * 0.11 + x * 0.11) = 0.16(x + -0.11) (0.0121 + 0.11x) = 0.16(x + -0.11) Reorder the terms: 0.0121 + 0.11x = 0.16(-0.11 + x) 0.0121 + 0.11x = (-0.11 * 0.16 + x * 0.16) 0.0121 + 0.11x = (-0.0176 + 0.16x) Solving 0.0121 + 0.11x = -0.0176 + 0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16x' to each side of the equation. 0.0121 + 0.11x + -0.16x = -0.0176 + 0.16x + -0.16x Combine like terms: 0.11x + -0.16x = -0.05x 0.0121 + -0.05x = -0.0176 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 0.0121 + -0.05x = -0.0176 + 0.00 0.0121 + -0.05x = -0.0176 Add '-0.0121' to each side of the equation. 0.0121 + -0.0121 + -0.05x = -0.0176 + -0.0121 Combine like terms: 0.0121 + -0.0121 = 0.0000 0.0000 + -0.05x = -0.0176 + -0.0121 -0.05x = -0.0176 + -0.0121 Combine like terms: -0.0176 + -0.0121 = -0.0297 -0.05x = -0.0297 Divide each side by '-0.05'. x = 0.594 Simplifying x = 0.594
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