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Simplifying 0.11x + 0.2(x + -3) = 0.01(2x + -2) Reorder the terms: 0.11x + 0.2(-3 + x) = 0.01(2x + -2) 0.11x + (-3 * 0.2 + x * 0.2) = 0.01(2x + -2) 0.11x + (-0.6 + 0.2x) = 0.01(2x + -2) Reorder the terms: -0.6 + 0.11x + 0.2x = 0.01(2x + -2) Combine like terms: 0.11x + 0.2x = 0.31x -0.6 + 0.31x = 0.01(2x + -2) Reorder the terms: -0.6 + 0.31x = 0.01(-2 + 2x) -0.6 + 0.31x = (-2 * 0.01 + 2x * 0.01) -0.6 + 0.31x = (-0.02 + 0.02x) Solving -0.6 + 0.31x = -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. -0.6 + 0.31x + -0.02x = -0.02 + 0.02x + -0.02x Combine like terms: 0.31x + -0.02x = 0.29x -0.6 + 0.29x = -0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.6 + 0.29x = -0.02 + 0.00 -0.6 + 0.29x = -0.02 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.29x = -0.02 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.29x = -0.02 + 0.6 0.29x = -0.02 + 0.6 Combine like terms: -0.02 + 0.6 = 0.58 0.29x = 0.58 Divide each side by '0.29'. x = 2 Simplifying x = 2
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