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Simplifying 0.11x + 0.06(x + -3) = 0.01(5x + -2) Reorder the terms: 0.11x + 0.06(-3 + x) = 0.01(5x + -2) 0.11x + (-3 * 0.06 + x * 0.06) = 0.01(5x + -2) 0.11x + (-0.18 + 0.06x) = 0.01(5x + -2) Reorder the terms: -0.18 + 0.11x + 0.06x = 0.01(5x + -2) Combine like terms: 0.11x + 0.06x = 0.17x -0.18 + 0.17x = 0.01(5x + -2) Reorder the terms: -0.18 + 0.17x = 0.01(-2 + 5x) -0.18 + 0.17x = (-2 * 0.01 + 5x * 0.01) -0.18 + 0.17x = (-0.02 + 0.05x) Solving -0.18 + 0.17x = -0.02 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -0.18 + 0.17x + -0.05x = -0.02 + 0.05x + -0.05x Combine like terms: 0.17x + -0.05x = 0.12x -0.18 + 0.12x = -0.02 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.18 + 0.12x = -0.02 + 0.00 -0.18 + 0.12x = -0.02 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.12x = -0.02 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.12x = -0.02 + 0.18 0.12x = -0.02 + 0.18 Combine like terms: -0.02 + 0.18 = 0.16 0.12x = 0.16 Divide each side by '0.12'. x = 1.333333333 Simplifying x = 1.333333333
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