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Simplifying 0.5x + -0.2(5 + -3x) = -0.4(x + -5) 0.5x + (5 * -0.2 + -3x * -0.2) = -0.4(x + -5) 0.5x + (-1 + 0.6x) = -0.4(x + -5) Reorder the terms: -1 + 0.5x + 0.6x = -0.4(x + -5) Combine like terms: 0.5x + 0.6x = 1.1x -1 + 1.1x = -0.4(x + -5) Reorder the terms: -1 + 1.1x = -0.4(-5 + x) -1 + 1.1x = (-5 * -0.4 + x * -0.4) -1 + 1.1x = (2 + -0.4x) Solving -1 + 1.1x = 2 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -1 + 1.1x + 0.4x = 2 + -0.4x + 0.4x Combine like terms: 1.1x + 0.4x = 1.5x -1 + 1.5x = 2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -1 + 1.5x = 2 + 0.0 -1 + 1.5x = 2 Add '1' to each side of the equation. -1 + 1 + 1.5x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 1.5x = 2 + 1 1.5x = 2 + 1 Combine like terms: 2 + 1 = 3 1.5x = 3 Divide each side by '1.5'. x = 2 Simplifying x = 2
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