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Simplifying 0.75x + -1 = 2.5x + 3 Reorder the terms: -1 + 0.75x = 2.5x + 3 Reorder the terms: -1 + 0.75x = 3 + 2.5x Solving -1 + 0.75x = 3 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -1 + 0.75x + -2.5x = 3 + 2.5x + -2.5x Combine like terms: 0.75x + -2.5x = -1.75x -1 + -1.75x = 3 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -1 + -1.75x = 3 + 0.0 -1 + -1.75x = 3 Add '1' to each side of the equation. -1 + 1 + -1.75x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -1.75x = 3 + 1 -1.75x = 3 + 1 Combine like terms: 3 + 1 = 4 -1.75x = 4 Divide each side by '-1.75'. x = -2.285714286 Simplifying x = -2.285714286
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