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Simplifying 0.4x + -1(1 + -1x) * 0.7 = 0 Reorder the terms for easier multiplication: 0.4x + -1 * 0.7(1 + -1x) = 0 Multiply -1 * 0.7 0.4x + -0.7(1 + -1x) = 0 0.4x + (1 * -0.7 + -1x * -0.7) = 0 0.4x + (-0.7 + 0.7x) = 0 Reorder the terms: -0.7 + 0.4x + 0.7x = 0 Combine like terms: 0.4x + 0.7x = 1.1x -0.7 + 1.1x = 0 Solving -0.7 + 1.1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7' to each side of the equation. -0.7 + 0.7 + 1.1x = 0 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 1.1x = 0 + 0.7 1.1x = 0 + 0.7 Combine like terms: 0 + 0.7 = 0.7 1.1x = 0.7 Divide each side by '1.1'. x = 0.6363636364 Simplifying x = 0.6363636364
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