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Simplifying 0.75x + 2 = 3x + -1 Reorder the terms: 2 + 0.75x = 3x + -1 Reorder the terms: 2 + 0.75x = -1 + 3x Solving 2 + 0.75x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 0.75x + -3x = -1 + 3x + -3x Combine like terms: 0.75x + -3x = -2.25x 2 + -2.25x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -2.25x = -1 + 0 2 + -2.25x = -1 Add '-2' to each side of the equation. 2 + -2 + -2.25x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -2.25x = -1 + -2 -2.25x = -1 + -2 Combine like terms: -1 + -2 = -3 -2.25x = -3 Divide each side by '-2.25'. x = 1.333333333 Simplifying x = 1.333333333
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