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Simplifying 3x + 15 + 5x + -13 = 4x + 31 Reorder the terms: 15 + -13 + 3x + 5x = 4x + 31 Combine like terms: 15 + -13 = 2 2 + 3x + 5x = 4x + 31 Combine like terms: 3x + 5x = 8x 2 + 8x = 4x + 31 Reorder the terms: 2 + 8x = 31 + 4x Solving 2 + 8x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 8x + -4x = 31 + 4x + -4x Combine like terms: 8x + -4x = 4x 2 + 4x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 4x = 31 + 0 2 + 4x = 31 Add '-2' to each side of the equation. 2 + -2 + 4x = 31 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 31 + -2 4x = 31 + -2 Combine like terms: 31 + -2 = 29 4x = 29 Divide each side by '4'. x = 7.25 Simplifying x = 7.25
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