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Simplifying (8x + 6) + (4x + 14) = (13x + 8) Reorder the terms: (6 + 8x) + (4x + 14) = (13x + 8) Remove parenthesis around (6 + 8x) 6 + 8x + (4x + 14) = (13x + 8) Reorder the terms: 6 + 8x + (14 + 4x) = (13x + 8) Remove parenthesis around (14 + 4x) 6 + 8x + 14 + 4x = (13x + 8) Reorder the terms: 6 + 14 + 8x + 4x = (13x + 8) Combine like terms: 6 + 14 = 20 20 + 8x + 4x = (13x + 8) Combine like terms: 8x + 4x = 12x 20 + 12x = (13x + 8) Reorder the terms: 20 + 12x = (8 + 13x) Remove parenthesis around (8 + 13x) 20 + 12x = 8 + 13x Solving 20 + 12x = 8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 20 + 12x + -13x = 8 + 13x + -13x Combine like terms: 12x + -13x = -1x 20 + -1x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 20 + -1x = 8 + 0 20 + -1x = 8 Add '-20' to each side of the equation. 20 + -20 + -1x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 8 + -20 -1x = 8 + -20 Combine like terms: 8 + -20 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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