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Simplifying 0.4(3x + -1) = 0.5x + 1 Reorder the terms: 0.4(-1 + 3x) = 0.5x + 1 (-1 * 0.4 + 3x * 0.4) = 0.5x + 1 (-0.4 + 1.2x) = 0.5x + 1 Reorder the terms: -0.4 + 1.2x = 1 + 0.5x Solving -0.4 + 1.2x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -0.4 + 1.2x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: 1.2x + -0.5x = 0.7x -0.4 + 0.7x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.4 + 0.7x = 1 + 0.0 -0.4 + 0.7x = 1 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.7x = 1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.7x = 1 + 0.4 0.7x = 1 + 0.4 Combine like terms: 1 + 0.4 = 1.4 0.7x = 1.4 Divide each side by '0.7'. x = 2 Simplifying x = 2
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