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Simplifying 0.11x + 0.9(x + -2) = 0.01(2x + -2) Reorder the terms: 0.11x + 0.9(-2 + x) = 0.01(2x + -2) 0.11x + (-2 * 0.9 + x * 0.9) = 0.01(2x + -2) 0.11x + (-1.8 + 0.9x) = 0.01(2x + -2) Reorder the terms: -1.8 + 0.11x + 0.9x = 0.01(2x + -2) Combine like terms: 0.11x + 0.9x = 1.01x -1.8 + 1.01x = 0.01(2x + -2) Reorder the terms: -1.8 + 1.01x = 0.01(-2 + 2x) -1.8 + 1.01x = (-2 * 0.01 + 2x * 0.01) -1.8 + 1.01x = (-0.02 + 0.02x) Solving -1.8 + 1.01x = -0.02 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -1.8 + 1.01x + -0.02x = -0.02 + 0.02x + -0.02x Combine like terms: 1.01x + -0.02x = 0.99x -1.8 + 0.99x = -0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -1.8 + 0.99x = -0.02 + 0.00 -1.8 + 0.99x = -0.02 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.99x = -0.02 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.99x = -0.02 + 1.8 0.99x = -0.02 + 1.8 Combine like terms: -0.02 + 1.8 = 1.78 0.99x = 1.78 Divide each side by '0.99'. x = 1.797979798 Simplifying x = 1.797979798
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