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Simplifying 6x + -5 + 7x + 3 = 12x + 4 Reorder the terms: -5 + 3 + 6x + 7x = 12x + 4 Combine like terms: -5 + 3 = -2 -2 + 6x + 7x = 12x + 4 Combine like terms: 6x + 7x = 13x -2 + 13x = 12x + 4 Reorder the terms: -2 + 13x = 4 + 12x Solving -2 + 13x = 4 + 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. -2 + 13x + -12x = 4 + 12x + -12x Combine like terms: 13x + -12x = 1x -2 + 1x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + 1x = 4 + 0 -2 + 1x = 4 Add '2' to each side of the equation. -2 + 2 + 1x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 4 + 2 1x = 4 + 2 Combine like terms: 4 + 2 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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