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Simplifying 12x + 16 + -10x = 5x + -23 Reorder the terms: 16 + 12x + -10x = 5x + -23 Combine like terms: 12x + -10x = 2x 16 + 2x = 5x + -23 Reorder the terms: 16 + 2x = -23 + 5x Solving 16 + 2x = -23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 2x + -5x = -23 + 5x + -5x Combine like terms: 2x + -5x = -3x 16 + -3x = -23 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -3x = -23 + 0 16 + -3x = -23 Add '-16' to each side of the equation. 16 + -16 + -3x = -23 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = -23 + -16 -3x = -23 + -16 Combine like terms: -23 + -16 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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