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Simplifying 5x + -2 = 2x + 3 Reorder the terms: -2 + 5x = 2x + 3 Reorder the terms: -2 + 5x = 3 + 2x Solving -2 + 5x = 3 + 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 + 5x + -2x = 3 + 2x + -2x Combine like terms: 5x + -2x = 3x -2 + 3x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 3x = 3 + 0 -2 + 3x = 3 Add '2' to each side of the equation. -2 + 2 + 3x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 3 + 2 3x = 3 + 2 Combine like terms: 3 + 2 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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