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Simplifying 13x + 8 = 7x + 7 + 5x + 12 Reorder the terms: 8 + 13x = 7x + 7 + 5x + 12 Reorder the terms: 8 + 13x = 7 + 12 + 7x + 5x Combine like terms: 7 + 12 = 19 8 + 13x = 19 + 7x + 5x Combine like terms: 7x + 5x = 12x 8 + 13x = 19 + 12x Solving 8 + 13x = 19 + 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 = 19 + 12x + -12x Combine like terms: 13x + -12x = 1x 8 + 1x = 19 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + 1x = 19 + 0 8 + 1x = 19 Add '-8' to each side of the equation. 8 + -8 + 1x = 19 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 19 + -8 1x = 19 + -8 Combine like terms: 19 + -8 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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