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Simplifying 10x + 8 + 5x + -4 = 12x + 16 Reorder the terms: 8 + -4 + 10x + 5x = 12x + 16 Combine like terms: 8 + -4 = 4 4 + 10x + 5x = 12x + 16 Combine like terms: 10x + 5x = 15x 4 + 15x = 12x + 16 Reorder the terms: 4 + 15x = 16 + 12x Solving 4 + 15x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 15x + -12x = 16 + 12x + -12x Combine like terms: 15x + -12x = 3x 4 + 3x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + 3x = 16 + 0 4 + 3x = 16 Add '-4' to each side of the equation. 4 + -4 + 3x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 16 + -4 3x = 16 + -4 Combine like terms: 16 + -4 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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