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Simplifying 19x + -2 + -7x = 31 + 6x + -15 Reorder the terms: -2 + 19x + -7x = 31 + 6x + -15 Combine like terms: 19x + -7x = 12x -2 + 12x = 31 + 6x + -15 Reorder the terms: -2 + 12x = 31 + -15 + 6x Combine like terms: 31 + -15 = 16 -2 + 12x = 16 + 6x Solving -2 + 12x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 12x + -6x = 16 + 6x + -6x Combine like terms: 12x + -6x = 6x -2 + 6x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 6x = 16 + 0 -2 + 6x = 16 Add '2' to each side of the equation. -2 + 2 + 6x = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 16 + 2 6x = 16 + 2 Combine like terms: 16 + 2 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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