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Simplifying X + -0.25 = 0.25(-2x + -5) + 1.5(x + -1) Reorder the terms: -0.25 + X = 0.25(-2x + -5) + 1.5(x + -1) Reorder the terms: -0.25 + X = 0.25(-5 + -2x) + 1.5(x + -1) -0.25 + X = (-5 * 0.25 + -2x * 0.25) + 1.5(x + -1) -0.25 + X = (-1.25 + -0.5x) + 1.5(x + -1) Reorder the terms: -0.25 + X = -1.25 + -0.5x + 1.5(-1 + x) -0.25 + X = -1.25 + -0.5x + (-1 * 1.5 + x * 1.5) -0.25 + X = -1.25 + -0.5x + (-1.5 + 1.5x) Reorder the terms: -0.25 + X = -1.25 + -1.5 + -0.5x + 1.5x Combine like terms: -1.25 + -1.5 = -2.75 -0.25 + X = -2.75 + -0.5x + 1.5x Combine like terms: -0.5x + 1.5x = 1x -0.25 + X = -2.75 + 1x Solving -0.25 + X = -2.75 + 1x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + X = -2.75 + 0.25 + 1x Combine like terms: -0.25 + 0.25 = 0.00 0.00 + X = -2.75 + 0.25 + 1x X = -2.75 + 0.25 + 1x Combine like terms: -2.75 + 0.25 = -2.5 X = -2.5 + 1x Simplifying X = -2.5 + 1x
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