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Simplifying 0.11x + 0.3(x + -2) = 0.01(3x + -4) Reorder the terms: 0.11x + 0.3(-2 + x) = 0.01(3x + -4) 0.11x + (-2 * 0.3 + x * 0.3) = 0.01(3x + -4) 0.11x + (-0.6 + 0.3x) = 0.01(3x + -4) Reorder the terms: -0.6 + 0.11x + 0.3x = 0.01(3x + -4) Combine like terms: 0.11x + 0.3x = 0.41x -0.6 + 0.41x = 0.01(3x + -4) Reorder the terms: -0.6 + 0.41x = 0.01(-4 + 3x) -0.6 + 0.41x = (-4 * 0.01 + 3x * 0.01) -0.6 + 0.41x = (-0.04 + 0.03x) Solving -0.6 + 0.41x = -0.04 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -0.6 + 0.41x + -0.03x = -0.04 + 0.03x + -0.03x Combine like terms: 0.41x + -0.03x = 0.38x -0.6 + 0.38x = -0.04 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.6 + 0.38x = -0.04 + 0.00 -0.6 + 0.38x = -0.04 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.38x = -0.04 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.38x = -0.04 + 0.6 0.38x = -0.04 + 0.6 Combine like terms: -0.04 + 0.6 = 0.56 0.38x = 0.56 Divide each side by '0.38'. x = 1.473684211 Simplifying x = 1.473684211
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