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Simplifying -3x + 8 + -2x = 10x + 23 Reorder the terms: 8 + -3x + -2x = 10x + 23 Combine like terms: -3x + -2x = -5x 8 + -5x = 10x + 23 Reorder the terms: 8 + -5x = 23 + 10x Solving 8 + -5x = 23 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + -5x + -10x = 23 + 10x + -10x Combine like terms: -5x + -10x = -15x 8 + -15x = 23 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -15x = 23 + 0 8 + -15x = 23 Add '-8' to each side of the equation. 8 + -8 + -15x = 23 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = 23 + -8 -15x = 23 + -8 Combine like terms: 23 + -8 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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