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Simplifying 0.11x + 0.3(x + -1) = 0.01(2x + -2) Reorder the terms: 0.11x + 0.3(-1 + x) = 0.01(2x + -2) 0.11x + (-1 * 0.3 + x * 0.3) = 0.01(2x + -2) 0.11x + (-0.3 + 0.3x) = 0.01(2x + -2) Reorder the terms: -0.3 + 0.11x + 0.3x = 0.01(2x + -2) Combine like terms: 0.11x + 0.3x = 0.41x -0.3 + 0.41x = 0.01(2x + -2) Reorder the terms: -0.3 + 0.41x = 0.01(-2 + 2x) -0.3 + 0.41x = (-2 * 0.01 + 2x * 0.01) -0.3 + 0.41x = (-0.02 + 0.02x) Solving -0.3 + 0.41x = -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. -0.3 + 0.41x + -0.02x = -0.02 + 0.02x + -0.02x Combine like terms: 0.41x + -0.02x = 0.39x -0.3 + 0.39x = -0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.3 + 0.39x = -0.02 + 0.00 -0.3 + 0.39x = -0.02 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.39x = -0.02 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.39x = -0.02 + 0.3 0.39x = -0.02 + 0.3 Combine like terms: -0.02 + 0.3 = 0.28 0.39x = 0.28 Divide each side by '0.39'. x = 0.7179487179 Simplifying x = 0.7179487179
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