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Simplifying 3x + 8 + -2x = -2x + 23 Reorder the terms: 8 + 3x + -2x = -2x + 23 Combine like terms: 3x + -2x = 1x 8 + 1x = -2x + 23 Reorder the terms: 8 + 1x = 23 + -2x Solving 8 + 1x = 23 + -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. 8 + 1x + 2x = 23 + -2x + 2x Combine like terms: 1x + 2x = 3x 8 + 3x = 23 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 3x = 23 + 0 8 + 3x = 23 Add '-8' to each side of the equation. 8 + -8 + 3x = 23 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 23 + -8 3x = 23 + -8 Combine like terms: 23 + -8 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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