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Simplifying 4x + 13 = 2x + 31 Reorder the terms: 13 + 4x = 2x + 31 Reorder the terms: 13 + 4x = 31 + 2x Solving 13 + 4x = 31 + 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. 13 + 4x + -2x = 31 + 2x + -2x Combine like terms: 4x + -2x = 2x 13 + 2x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 2x = 31 + 0 13 + 2x = 31 Add '-13' to each side of the equation. 13 + -13 + 2x = 31 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 31 + -13 2x = 31 + -13 Combine like terms: 31 + -13 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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