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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 = 8 8 + 6x + 7x = 12x + 4 Combine like terms: 6x + 7x = 13x 8 + 13x = 12x + 4 Reorder the terms: 8 + 13x = 4 + 12x Solving 8 + 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. 8 + 13x + -12x = 4 + 12x + -12x Combine like terms: 13x + -12x = 1x 8 + 1x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + 1x = 4 + 0 8 + 1x = 4 Add '-8' to each side of the equation. 8 + -8 + 1x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 4 + -8 1x = 4 + -8 Combine like terms: 4 + -8 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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