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Simplifying 0.4x + -0.3(x + 1) = 0 Reorder the terms: 0.4x + -0.3(1 + x) = 0 0.4x + (1 * -0.3 + x * -0.3) = 0 0.4x + (-0.3 + -0.3x) = 0 Reorder the terms: -0.3 + 0.4x + -0.3x = 0 Combine like terms: 0.4x + -0.3x = 0.1x -0.3 + 0.1x = 0 Solving -0.3 + 0.1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.1x = 0 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.1x = 0 + 0.3 0.1x = 0 + 0.3 Combine like terms: 0 + 0.3 = 0.3 0.1x = 0.3 Divide each side by '0.1'. x = 3 Simplifying x = 3
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