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Simplifying 13x + 12 = 8x + 7 + 4x + 14 Reorder the terms: 12 + 13x = 8x + 7 + 4x + 14 Reorder the terms: 12 + 13x = 7 + 14 + 8x + 4x Combine like terms: 7 + 14 = 21 12 + 13x = 21 + 8x + 4x Combine like terms: 8x + 4x = 12x 12 + 13x = 21 + 12x Solving 12 + 13x = 21 + 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. 12 + 13x + -12x = 21 + 12x + -12x Combine like terms: 13x + -12x = 1x 12 + 1x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + 1x = 21 + 0 12 + 1x = 21 Add '-12' to each side of the equation. 12 + -12 + 1x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 21 + -12 1x = 21 + -12 Combine like terms: 21 + -12 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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