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Simplifying 1.5(x + -4) = 0.75(2x + -7) Reorder the terms: 1.5(-4 + x) = 0.75(2x + -7) (-4 * 1.5 + x * 1.5) = 0.75(2x + -7) (-6 + 1.5x) = 0.75(2x + -7) Reorder the terms: -6 + 1.5x = 0.75(-7 + 2x) -6 + 1.5x = (-7 * 0.75 + 2x * 0.75) -6 + 1.5x = (-5.25 + 1.5x) Add '-1.5x' to each side of the equation. -6 + 1.5x + -1.5x = -5.25 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -6 + 0.0 = -5.25 + 1.5x + -1.5x -6 = -5.25 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -6 = -5.25 + 0.0 -6 = -5.25 Solving -6 = -5.25 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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