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Simplifying 11x + 8 = (6x + 7) + (4x + 13) Reorder the terms: 8 + 11x = (6x + 7) + (4x + 13) Reorder the terms: 8 + 11x = (7 + 6x) + (4x + 13) Remove parenthesis around (7 + 6x) 8 + 11x = 7 + 6x + (4x + 13) Reorder the terms: 8 + 11x = 7 + 6x + (13 + 4x) Remove parenthesis around (13 + 4x) 8 + 11x = 7 + 6x + 13 + 4x Reorder the terms: 8 + 11x = 7 + 13 + 6x + 4x Combine like terms: 7 + 13 = 20 8 + 11x = 20 + 6x + 4x Combine like terms: 6x + 4x = 10x 8 + 11x = 20 + 10x Solving 8 + 11x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 11x + -10x = 20 + 10x + -10x Combine like terms: 11x + -10x = 1x 8 + 1x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + 1x = 20 + 0 8 + 1x = 20 Add '-8' to each side of the equation. 8 + -8 + 1x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 20 + -8 1x = 20 + -8 Combine like terms: 20 + -8 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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