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Simplifying 2.25x + -4.5 = 3x + -10 Reorder the terms: -4.5 + 2.25x = 3x + -10 Reorder the terms: -4.5 + 2.25x = -10 + 3x Solving -4.5 + 2.25x = -10 + 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. -4.5 + 2.25x + -3x = -10 + 3x + -3x Combine like terms: 2.25x + -3x = -0.75x -4.5 + -0.75x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -4.5 + -0.75x = -10 + 0 -4.5 + -0.75x = -10 Add '4.5' to each side of the equation. -4.5 + 4.5 + -0.75x = -10 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -0.75x = -10 + 4.5 -0.75x = -10 + 4.5 Combine like terms: -10 + 4.5 = -5.5 -0.75x = -5.5 Divide each side by '-0.75'. x = 7.333333333 Simplifying x = 7.333333333
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