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Simplifying (4x + 1) + ((2x + 7) * 2) = 180 Reorder the terms: (1 + 4x) + ((2x + 7) * 2) = 180 Remove parenthesis around (1 + 4x) 1 + 4x + ((2x + 7) * 2) = 180 Reorder the terms: 1 + 4x + ((7 + 2x) * 2) = 180 Reorder the terms for easier multiplication: 1 + 4x + (2(7 + 2x)) = 180 1 + 4x + ((7 * 2 + 2x * 2)) = 180 1 + 4x + ((14 + 4x)) = 180 1 + 4x + (14 + 4x) = 180 Remove parenthesis around (14 + 4x) 1 + 4x + 14 + 4x = 180 Reorder the terms: 1 + 14 + 4x + 4x = 180 Combine like terms: 1 + 14 = 15 15 + 4x + 4x = 180 Combine like terms: 4x + 4x = 8x 15 + 8x = 180 Solving 15 + 8x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 8x = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 180 + -15 8x = 180 + -15 Combine like terms: 180 + -15 = 165 8x = 165 Divide each side by '8'. x = 20.625 Simplifying x = 20.625
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