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Simplifying 3x + 2.25 = 5.75x + -3.75x + -0.75 Reorder the terms: 2.25 + 3x = 5.75x + -3.75x + -0.75 Reorder the terms: 2.25 + 3x = -0.75 + 5.75x + -3.75x Combine like terms: 5.75x + -3.75x = 2x 2.25 + 3x = -0.75 + 2x Solving 2.25 + 3x = -0.75 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2.25 + 3x + -2x = -0.75 + 2x + -2x Combine like terms: 3x + -2x = 1x 2.25 + 1x = -0.75 + 2x + -2x Combine like terms: 2x + -2x = 0 2.25 + 1x = -0.75 + 0 2.25 + 1x = -0.75 Add '-2.25' to each side of the equation. 2.25 + -2.25 + 1x = -0.75 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + 1x = -0.75 + -2.25 1x = -0.75 + -2.25 Combine like terms: -0.75 + -2.25 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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