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Simplifying 0.42x + -0.3(0.4x + -3) = 0 Reorder the terms: 0.42x + -0.3(-3 + 0.4x) = 0 0.42x + (-3 * -0.3 + 0.4x * -0.3) = 0 0.42x + (0.9 + -0.12x) = 0 Reorder the terms: 0.9 + 0.42x + -0.12x = 0 Combine like terms: 0.42x + -0.12x = 0.3x 0.9 + 0.3x = 0 Solving 0.9 + 0.3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.3x = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.3x = 0 + -0.9 0.3x = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 0.3x = -0.9 Divide each side by '0.3'. x = -3 Simplifying x = -3
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