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Simplifying 6x + 5 + 7x + 13 = 12x + 4 Reorder the terms: 5 + 13 + 6x + 7x = 12x + 4 Combine like terms: 5 + 13 = 18 18 + 6x + 7x = 12x + 4 Combine like terms: 6x + 7x = 13x 18 + 13x = 12x + 4 Reorder the terms: 18 + 13x = 4 + 12x Solving 18 + 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. 18 + 13x + -12x = 4 + 12x + -12x Combine like terms: 13x + -12x = 1x 18 + 1x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + 1x = 4 + 0 18 + 1x = 4 Add '-18' to each side of the equation. 18 + -18 + 1x = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 4 + -18 1x = 4 + -18 Combine like terms: 4 + -18 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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