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Simplifying 0.6 + -0.1(1.4 + -3x) = 0 0.6 + (1.4 * -0.1 + -3x * -0.1) = 0 0.6 + (-0.14 + 0.3x) = 0 Combine like terms: 0.6 + -0.14 = 0.46 0.46 + 0.3x = 0 Solving 0.46 + 0.3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.46' to each side of the equation. 0.46 + -0.46 + 0.3x = 0 + -0.46 Combine like terms: 0.46 + -0.46 = 0.00 0.00 + 0.3x = 0 + -0.46 0.3x = 0 + -0.46 Combine like terms: 0 + -0.46 = -0.46 0.3x = -0.46 Divide each side by '0.3'. x = -1.533333333 Simplifying x = -1.533333333
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