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Simplifying 31x + 7 = 15x + 13 Reorder the terms: 7 + 31x = 15x + 13 Reorder the terms: 7 + 31x = 13 + 15x Solving 7 + 31x = 13 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 7 + 31x + -15x = 13 + 15x + -15x Combine like terms: 31x + -15x = 16x 7 + 16x = 13 + 15x + -15x Combine like terms: 15x + -15x = 0 7 + 16x = 13 + 0 7 + 16x = 13 Add '-7' to each side of the equation. 7 + -7 + 16x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 16x = 13 + -7 16x = 13 + -7 Combine like terms: 13 + -7 = 6 16x = 6 Divide each side by '16'. x = 0.375 Simplifying x = 0.375
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