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Simplifying 0.2(2x + -1) + -0.25(3x + -4) = 0 Reorder the terms: 0.2(-1 + 2x) + -0.25(3x + -4) = 0 (-1 * 0.2 + 2x * 0.2) + -0.25(3x + -4) = 0 (-0.2 + 0.4x) + -0.25(3x + -4) = 0 Reorder the terms: -0.2 + 0.4x + -0.25(-4 + 3x) = 0 -0.2 + 0.4x + (-4 * -0.25 + 3x * -0.25) = 0 -0.2 + 0.4x + (1 + -0.75x) = 0 Reorder the terms: -0.2 + 1 + 0.4x + -0.75x = 0 Combine like terms: -0.2 + 1 = 0.8 0.8 + 0.4x + -0.75x = 0 Combine like terms: 0.4x + -0.75x = -0.35x 0.8 + -0.35x = 0 Solving 0.8 + -0.35x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.35x = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.35x = 0 + -0.8 -0.35x = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -0.35x = -0.8 Divide each side by '-0.35'. x = 2.285714286 Simplifying x = 2.285714286
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