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Simplifying 0.25(3x + -2) + -2.5(2x + 4) = 0 Reorder the terms: 0.25(-2 + 3x) + -2.5(2x + 4) = 0 (-2 * 0.25 + 3x * 0.25) + -2.5(2x + 4) = 0 (-0.5 + 0.75x) + -2.5(2x + 4) = 0 Reorder the terms: -0.5 + 0.75x + -2.5(4 + 2x) = 0 -0.5 + 0.75x + (4 * -2.5 + 2x * -2.5) = 0 -0.5 + 0.75x + (-10 + -5x) = 0 Reorder the terms: -0.5 + -10 + 0.75x + -5x = 0 Combine like terms: -0.5 + -10 = -10.5 -10.5 + 0.75x + -5x = 0 Combine like terms: 0.75x + -5x = -4.25x -10.5 + -4.25x = 0 Solving -10.5 + -4.25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5' to each side of the equation. -10.5 + 10.5 + -4.25x = 0 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + -4.25x = 0 + 10.5 -4.25x = 0 + 10.5 Combine like terms: 0 + 10.5 = 10.5 -4.25x = 10.5 Divide each side by '-4.25'. x = -2.470588235 Simplifying x = -2.470588235
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