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Simplifying 3(x + -0.4) + -0.1(5x + -2) = 3 Reorder the terms: 3(-0.4 + x) + -0.1(5x + -2) = 3 (-0.4 * 3 + x * 3) + -0.1(5x + -2) = 3 (-1.2 + 3x) + -0.1(5x + -2) = 3 Reorder the terms: -1.2 + 3x + -0.1(-2 + 5x) = 3 -1.2 + 3x + (-2 * -0.1 + 5x * -0.1) = 3 -1.2 + 3x + (0.2 + -0.5x) = 3 Reorder the terms: -1.2 + 0.2 + 3x + -0.5x = 3 Combine like terms: -1.2 + 0.2 = -1 -1 + 3x + -0.5x = 3 Combine like terms: 3x + -0.5x = 2.5x -1 + 2.5x = 3 Solving -1 + 2.5x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2.5x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 2.5x = 3 + 1 2.5x = 3 + 1 Combine like terms: 3 + 1 = 4 2.5x = 4 Divide each side by '2.5'. x = 1.6 Simplifying x = 1.6
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