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Simplifying 7(3x + 1) = 2(2x + 4) Reorder the terms: 7(1 + 3x) = 2(2x + 4) (1 * 7 + 3x * 7) = 2(2x + 4) (7 + 21x) = 2(2x + 4) Reorder the terms: 7 + 21x = 2(4 + 2x) 7 + 21x = (4 * 2 + 2x * 2) 7 + 21x = (8 + 4x) Solving 7 + 21x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 21x + -4x = 8 + 4x + -4x Combine like terms: 21x + -4x = 17x 7 + 17x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 17x = 8 + 0 7 + 17x = 8 Add '-7' to each side of the equation. 7 + -7 + 17x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 17x = 8 + -7 17x = 8 + -7 Combine like terms: 8 + -7 = 1 17x = 1 Divide each side by '17'. x = 0.05882352941 Simplifying x = 0.05882352941
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