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Simplifying (4x) + (7x + 1) + (7x + 6) = 151 Reorder the terms: (4x) + (1 + 7x) + (7x + 6) = 151 Remove parenthesis around (1 + 7x) (4x) + 1 + 7x + (7x + 6) = 151 Reorder the terms: (4x) + 1 + 7x + (6 + 7x) = 151 Remove parenthesis around (6 + 7x) (4x) + 1 + 7x + 6 + 7x = 151 Reorder the terms: 1 + 6 + (4x) + 7x + 7x = 151 Combine like terms: 1 + 6 = 7 7 + (4x) + 7x + 7x = 151 Combine like terms: (4x) + 7x = 11x 7 + 11x + 7x = 151 Combine like terms: 11x + 7x = 18x 7 + 18x = 151 Solving 7 + 18x = 151 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 18x = 151 + -7 Combine like terms: 7 + -7 = 0 0 + 18x = 151 + -7 18x = 151 + -7 Combine like terms: 151 + -7 = 144 18x = 144 Divide each side by '18'. x = 8 Simplifying x = 8
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