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Simplifying x + 23 = -2x + 38 Reorder the terms: 23 + x = -2x + 38 Reorder the terms: 23 + x = 38 + -2x Solving 23 + x = 38 + -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. 23 + x + 2x = 38 + -2x + 2x Combine like terms: x + 2x = 3x 23 + 3x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 23 + 3x = 38 + 0 23 + 3x = 38 Add '-23' to each side of the equation. 23 + -23 + 3x = 38 + -23 Combine like terms: 23 + -23 = 0 0 + 3x = 38 + -23 3x = 38 + -23 Combine like terms: 38 + -23 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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