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Simplifying 3(2x + 7) + 2 = 4(4x) + x Reorder the terms: 3(7 + 2x) + 2 = 4(4x) + x (7 * 3 + 2x * 3) + 2 = 4(4x) + x (21 + 6x) + 2 = 4(4x) + x Reorder the terms: 21 + 2 + 6x = 4(4x) + x Combine like terms: 21 + 2 = 23 23 + 6x = 4(4x) + x Remove parenthesis around (4x) 23 + 6x = 4 * 4x + x Multiply 4 * 4 23 + 6x = 16x + x Combine like terms: 16x + x = 17x 23 + 6x = 17x Solving 23 + 6x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 23 + 6x + -17x = 17x + -17x Combine like terms: 6x + -17x = -11x 23 + -11x = 17x + -17x Combine like terms: 17x + -17x = 0 23 + -11x = 0 Add '-23' to each side of the equation. 23 + -23 + -11x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -11x = 0 + -23 -11x = 0 + -23 Combine like terms: 0 + -23 = -23 -11x = -23 Divide each side by '-11'. x = 2.090909091 Simplifying x = 2.090909091
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