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Simplifying 5x + -2 = 13 + -3x Reorder the terms: -2 + 5x = 13 + -3x Solving -2 + 5x = 13 + -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 + 5x + 3x = 13 + -3x + 3x Combine like terms: 5x + 3x = 8x -2 + 8x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 8x = 13 + 0 -2 + 8x = 13 Add '2' to each side of the equation. -2 + 2 + 8x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 13 + 2 8x = 13 + 2 Combine like terms: 13 + 2 = 15 8x = 15 Divide each side by '8'. x = 1.875 Simplifying x = 1.875
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